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Finding the Fourth Proportional to 509.81, 764.55 and 201.78

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Solution

The fourth proportional to 509.81, 764.55 and 201.78 is: 302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.81 : 764.55 = 201.78 : x
  2. Step 2: Convert to fraction form
    509.81/764.55 = 201.78/x
  3. Step 3: Cross multiply
    509.81x = 764.55 × 201.78
  4. Step 4: Simplify right side
    509.81x = 154,270.90
  5. Step 5: Solve for x
    x = 154,270.90/509.81
  6. Step 6: Final answer
    x = 302.61

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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.