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Finding the Fourth Proportional to 424.47, 585.38 and 276.95

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Solution

The fourth proportional to 424.47, 585.38 and 276.95 is: 381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.47 : 585.38 = 276.95 : x
  2. Step 2: Convert to fraction form
    424.47/585.38 = 276.95/x
  3. Step 3: Cross multiply
    424.47x = 585.38 × 276.95
  4. Step 4: Simplify right side
    424.47x = 162,116.68
  5. Step 5: Solve for x
    x = 162,116.68/424.47
  6. Step 6: Final answer
    x = 381.93

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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.