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Finding the Fourth Proportional to 240.72, 358.50 and 234.24

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Solution

The fourth proportional to 240.72, 358.50 and 234.24 is: 348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.72 : 358.50 = 234.24 : x
  2. Step 2: Convert to fraction form
    240.72/358.50 = 234.24/x
  3. Step 3: Cross multiply
    240.72x = 358.50 × 234.24
  4. Step 4: Simplify right side
    240.72x = 83,975.04
  5. Step 5: Solve for x
    x = 83,975.04/240.72
  6. Step 6: Final answer
    x = 348.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.