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Finding the Fourth Proportional to 509.44, 763.68 and 253.12

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Solution

The fourth proportional to 509.44, 763.68 and 253.12 is: 379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.44 : 763.68 = 253.12 : x
  2. Step 2: Convert to fraction form
    509.44/763.68 = 253.12/x
  3. Step 3: Cross multiply
    509.44x = 763.68 × 253.12
  4. Step 4: Simplify right side
    509.44x = 193,302.68
  5. Step 5: Solve for x
    x = 193,302.68/509.44
  6. Step 6: Final answer
    x = 379.44

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Double scale
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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.