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Finding the Fourth Proportional to 142.25, 213.12 and 101.48

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Solution

The fourth proportional to 142.25, 213.12 and 101.48 is: 152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.25 : 213.12 = 101.48 : x
  2. Step 2: Convert to fraction form
    142.25/213.12 = 101.48/x
  3. Step 3: Cross multiply
    142.25x = 213.12 × 101.48
  4. Step 4: Simplify right side
    142.25x = 21,626.35
  5. Step 5: Solve for x
    x = 21,626.35/142.25
  6. Step 6: Final answer
    x = 152.04

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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.