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Finding the Fourth Proportional to 337.10, 464.16 and 306.20

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Solution

The fourth proportional to 337.10, 464.16 and 306.20 is: 421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.10 : 464.16 = 306.20 : x
  2. Step 2: Convert to fraction form
    337.10/464.16 = 306.20/x
  3. Step 3: Cross multiply
    337.10x = 464.16 × 306.20
  4. Step 4: Simplify right side
    337.10x = 142,125.79
  5. Step 5: Solve for x
    x = 142,125.79/337.10
  6. Step 6: Final answer
    x = 421.61

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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.