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Finding the Fourth Proportional to 509.45, 764.14 and 144.22

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Solution

The fourth proportional to 509.45, 764.14 and 144.22 is: 216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.45 : 764.14 = 144.22 : x
  2. Step 2: Convert to fraction form
    509.45/764.14 = 144.22/x
  3. Step 3: Cross multiply
    509.45x = 764.14 × 144.22
  4. Step 4: Simplify right side
    509.45x = 110,204.27
  5. Step 5: Solve for x
    x = 110,204.27/509.45
  6. Step 6: Final answer
    x = 216.32

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.