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Finding the Fourth Proportional to 424.42, 585.56 and 249.72

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Solution

The fourth proportional to 424.42, 585.56 and 249.72 is: 344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.42 : 585.56 = 249.72 : x
  2. Step 2: Convert to fraction form
    424.42/585.56 = 249.72/x
  3. Step 3: Cross multiply
    424.42x = 585.56 × 249.72
  4. Step 4: Simplify right side
    424.42x = 146,226.04
  5. Step 5: Solve for x
    x = 146,226.04/424.42
  6. Step 6: Final answer
    x = 344.53

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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.