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Finding the Fourth Proportional to 638.57, 881.24 and 358.81

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Solution

The fourth proportional to 638.57, 881.24 and 358.81 is: 495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.57 : 881.24 = 358.81 : x
  2. Step 2: Convert to fraction form
    638.57/881.24 = 358.81/x
  3. Step 3: Cross multiply
    638.57x = 881.24 × 358.81
  4. Step 4: Simplify right side
    638.57x = 316,197.72
  5. Step 5: Solve for x
    x = 316,197.72/638.57
  6. Step 6: Final answer
    x = 495.17

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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.