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Finding the Fourth Proportional to 358.91, 538.34 and 139.47

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Solution

The fourth proportional to 358.91, 538.34 and 139.47 is: 209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.91 : 538.34 = 139.47 : x
  2. Step 2: Convert to fraction form
    358.91/538.34 = 139.47/x
  3. Step 3: Cross multiply
    358.91x = 538.34 × 139.47
  4. Step 4: Simplify right side
    358.91x = 75,081.58
  5. Step 5: Solve for x
    x = 75,081.58/358.91
  6. Step 6: Final answer
    x = 209.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.