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Finding the Fourth Proportional to 147.88, 222 and 142.12

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Solution

The fourth proportional to 147.88, 222 and 142.12 is: 213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.88 : 222 = 142.12 : x
  2. Step 2: Convert to fraction form
    147.88/222 = 142.12/x
  3. Step 3: Cross multiply
    147.88x = 222 × 142.12
  4. Step 4: Simplify right side
    147.88x = 31,550.64
  5. Step 5: Solve for x
    x = 31,550.64/147.88
  6. Step 6: Final answer
    x = 213.35

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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.