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Finding the Fourth Proportional to 142.42, 213.38 and 101.76

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Solution

The fourth proportional to 142.42, 213.38 and 101.76 is: 152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 213.38 = 101.76 : x
  2. Step 2: Convert to fraction form
    142.42/213.38 = 101.76/x
  3. Step 3: Cross multiply
    142.42x = 213.38 × 101.76
  4. Step 4: Simplify right side
    142.42x = 21,713.55
  5. Step 5: Solve for x
    x = 21,713.55/142.42
  6. Step 6: Final answer
    x = 152.46

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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.