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Finding the Fourth Proportional to 509.96, 764.70 and 201.62

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Solution

The fourth proportional to 509.96, 764.70 and 201.62 is: 302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.96 : 764.70 = 201.62 : x
  2. Step 2: Convert to fraction form
    509.96/764.70 = 201.62/x
  3. Step 3: Cross multiply
    509.96x = 764.70 × 201.62
  4. Step 4: Simplify right side
    509.96x = 154,178.81
  5. Step 5: Solve for x
    x = 154,178.81/509.96
  6. Step 6: Final answer
    x = 302.34

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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.