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Finding the Fourth Proportional to 423.20, 634.88 and 240.72

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Solution

The fourth proportional to 423.20, 634.88 and 240.72 is: 361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.20 : 634.88 = 240.72 : x
  2. Step 2: Convert to fraction form
    423.20/634.88 = 240.72/x
  3. Step 3: Cross multiply
    423.20x = 634.88 × 240.72
  4. Step 4: Simplify right side
    423.20x = 152,828.31
  5. Step 5: Solve for x
    x = 152,828.31/423.20
  6. Step 6: Final answer
    x = 361.13

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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.