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Finding the Fourth Proportional to 424.28, 585.86 and 277.16

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Solution

The fourth proportional to 424.28, 585.86 and 277.16 is: 382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.28 : 585.86 = 277.16 : x
  2. Step 2: Convert to fraction form
    424.28/585.86 = 277.16/x
  3. Step 3: Cross multiply
    424.28x = 585.86 × 277.16
  4. Step 4: Simplify right side
    424.28x = 162,376.96
  5. Step 5: Solve for x
    x = 162,376.96/424.28
  6. Step 6: Final answer
    x = 382.71

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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.