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Finding the Fourth Proportional to 638.18, 880.66 and 358.44

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Solution

The fourth proportional to 638.18, 880.66 and 358.44 is: 494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.18 : 880.66 = 358.44 : x
  2. Step 2: Convert to fraction form
    638.18/880.66 = 358.44/x
  3. Step 3: Cross multiply
    638.18x = 880.66 × 358.44
  4. Step 4: Simplify right side
    638.18x = 315,663.77
  5. Step 5: Solve for x
    x = 315,663.77/638.18
  6. Step 6: Final answer
    x = 494.63

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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.