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Finding the Fourth Proportional to 501.92, 752.93 and 155.24

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Solution

The fourth proportional to 501.92, 752.93 and 155.24 is: 232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.92 : 752.93 = 155.24 : x
  2. Step 2: Convert to fraction form
    501.92/752.93 = 155.24/x
  3. Step 3: Cross multiply
    501.92x = 752.93 × 155.24
  4. Step 4: Simplify right side
    501.92x = 116,884.85
  5. Step 5: Solve for x
    x = 116,884.85/501.92
  6. Step 6: Final answer
    x = 232.88

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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.