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Finding the Fourth Proportional to 141.72, 213.40 and 101.42

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Solution

The fourth proportional to 141.72, 213.40 and 101.42 is: 152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.72 : 213.40 = 101.42 : x
  2. Step 2: Convert to fraction form
    141.72/213.40 = 101.42/x
  3. Step 3: Cross multiply
    141.72x = 213.40 × 101.42
  4. Step 4: Simplify right side
    141.72x = 21,643.03
  5. Step 5: Solve for x
    x = 21,643.03/141.72
  6. Step 6: Final answer
    x = 152.72

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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.