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Finding the Fourth Proportional to 424.57, 585.82 and 277.42

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Solution

The fourth proportional to 424.57, 585.82 and 277.42 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.57 : 585.82 = 277.42 : x
  2. Step 2: Convert to fraction form
    424.57/585.82 = 277.42/x
  3. Step 3: Cross multiply
    424.57x = 585.82 × 277.42
  4. Step 4: Simplify right side
    424.57x = 162,518.18
  5. Step 5: Solve for x
    x = 162,518.18/424.57
  6. Step 6: Final answer
    x = 382.78

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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.