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Finding the Fourth Proportional to 158.39, 217.69 and 139.85

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Solution

The fourth proportional to 158.39, 217.69 and 139.85 is: 192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.39 : 217.69 = 139.85 : x
  2. Step 2: Convert to fraction form
    158.39/217.69 = 139.85/x
  3. Step 3: Cross multiply
    158.39x = 217.69 × 139.85
  4. Step 4: Simplify right side
    158.39x = 30,444.14
  5. Step 5: Solve for x
    x = 30,444.14/158.39
  6. Step 6: Final answer
    x = 192.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.