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Finding the Fourth Proportional to 337.40, 464.76 and 284.88

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Solution

The fourth proportional to 337.40, 464.76 and 284.88 is: 392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.40 : 464.76 = 284.88 : x
  2. Step 2: Convert to fraction form
    337.40/464.76 = 284.88/x
  3. Step 3: Cross multiply
    337.40x = 464.76 × 284.88
  4. Step 4: Simplify right side
    337.40x = 132,400.83
  5. Step 5: Solve for x
    x = 132,400.83/337.40
  6. Step 6: Final answer
    x = 392.42

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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.