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Finding the Fourth Proportional to 337.61, 462.85 and 331.45

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Solution

The fourth proportional to 337.61, 462.85 and 331.45 is: 454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.61 : 462.85 = 331.45 : x
  2. Step 2: Convert to fraction form
    337.61/462.85 = 331.45/x
  3. Step 3: Cross multiply
    337.61x = 462.85 × 331.45
  4. Step 4: Simplify right side
    337.61x = 153,411.63
  5. Step 5: Solve for x
    x = 153,411.63/337.61
  6. Step 6: Final answer
    x = 454.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.