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Finding the Fourth Proportional to 142.24, 213.72 and 121.36

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Solution

The fourth proportional to 142.24, 213.72 and 121.36 is: 182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 213.72 = 121.36 : x
  2. Step 2: Convert to fraction form
    142.24/213.72 = 121.36/x
  3. Step 3: Cross multiply
    142.24x = 213.72 × 121.36
  4. Step 4: Simplify right side
    142.24x = 25,937.06
  5. Step 5: Solve for x
    x = 25,937.06/142.24
  6. Step 6: Final answer
    x = 182.35

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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.