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Finding the Fourth Proportional to 410.35, 615.12 and 337.45

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Solution

The fourth proportional to 410.35, 615.12 and 337.45 is: 505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.35 : 615.12 = 337.45 : x
  2. Step 2: Convert to fraction form
    410.35/615.12 = 337.45/x
  3. Step 3: Cross multiply
    410.35x = 615.12 × 337.45
  4. Step 4: Simplify right side
    410.35x = 207,572.24
  5. Step 5: Solve for x
    x = 207,572.24/410.35
  6. Step 6: Final answer
    x = 505.84

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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.