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Finding the Fourth Proportional to 159.22, 218.72 and 139.78

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Solution

The fourth proportional to 159.22, 218.72 and 139.78 is: 192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.22 : 218.72 = 139.78 : x
  2. Step 2: Convert to fraction form
    159.22/218.72 = 139.78/x
  3. Step 3: Cross multiply
    159.22x = 218.72 × 139.78
  4. Step 4: Simplify right side
    159.22x = 30,572.68
  5. Step 5: Solve for x
    x = 30,572.68/159.22
  6. Step 6: Final answer
    x = 192.02

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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.