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Finding the Fourth Proportional to 424.28, 585.06 and 276.86

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Solution

The fourth proportional to 424.28, 585.06 and 276.86 is: 381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.28 : 585.06 = 276.86 : x
  2. Step 2: Convert to fraction form
    424.28/585.06 = 276.86/x
  3. Step 3: Cross multiply
    424.28x = 585.06 × 276.86
  4. Step 4: Simplify right side
    424.28x = 161,979.71
  5. Step 5: Solve for x
    x = 161,979.71/424.28
  6. Step 6: Final answer
    x = 381.78

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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.