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Finding the Fourth Proportional to 337.61, 464.84 and 306.85

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Solution

The fourth proportional to 337.61, 464.84 and 306.85 is: 422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.61 : 464.84 = 306.85 : x
  2. Step 2: Convert to fraction form
    337.61/464.84 = 306.85/x
  3. Step 3: Cross multiply
    337.61x = 464.84 × 306.85
  4. Step 4: Simplify right side
    337.61x = 142,633.46
  5. Step 5: Solve for x
    x = 142,633.46/337.61
  6. Step 6: Final answer
    x = 422.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.