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Finding the Fourth Proportional to 337.62, 464.94 and 288.48

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Solution

The fourth proportional to 337.62, 464.94 and 288.48 is: 397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.62 : 464.94 = 288.48 : x
  2. Step 2: Convert to fraction form
    337.62/464.94 = 288.48/x
  3. Step 3: Cross multiply
    337.62x = 464.94 × 288.48
  4. Step 4: Simplify right side
    337.62x = 134,125.89
  5. Step 5: Solve for x
    x = 134,125.89/337.62
  6. Step 6: Final answer
    x = 397.27

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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.