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Finding the Fourth Proportional to 402.73, 602.54 and 349.21

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Solution

The fourth proportional to 402.73, 602.54 and 349.21 is: 522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.73 : 602.54 = 349.21 : x
  2. Step 2: Convert to fraction form
    402.73/602.54 = 349.21/x
  3. Step 3: Cross multiply
    402.73x = 602.54 × 349.21
  4. Step 4: Simplify right side
    402.73x = 210,411.25
  5. Step 5: Solve for x
    x = 210,411.25/402.73
  6. Step 6: Final answer
    x = 522.46

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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.