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Finding the Fourth Proportional to 142.77, 215.22 and 118.88

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Solution

The fourth proportional to 142.77, 215.22 and 118.88 is: 179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.77 : 215.22 = 118.88 : x
  2. Step 2: Convert to fraction form
    142.77/215.22 = 118.88/x
  3. Step 3: Cross multiply
    142.77x = 215.22 × 118.88
  4. Step 4: Simplify right side
    142.77x = 25,584.28
  5. Step 5: Solve for x
    x = 25,584.28/142.77
  6. Step 6: Final answer
    x = 179.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.