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Finding the Fourth Proportional to 402.61, 602.95 and 344.50

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Solution

The fourth proportional to 402.61, 602.95 and 344.50 is: 515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.61 : 602.95 = 344.50 : x
  2. Step 2: Convert to fraction form
    402.61/602.95 = 344.50/x
  3. Step 3: Cross multiply
    402.61x = 602.95 × 344.50
  4. Step 4: Simplify right side
    402.61x = 207,716.28
  5. Step 5: Solve for x
    x = 207,716.28/402.61
  6. Step 6: Final answer
    x = 515.92

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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.