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Finding the Fourth Proportional to 142.42, 212.60 and 133.24

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Solution

The fourth proportional to 142.42, 212.60 and 133.24 is: 198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 212.60 = 133.24 : x
  2. Step 2: Convert to fraction form
    142.42/212.60 = 133.24/x
  3. Step 3: Cross multiply
    142.42x = 212.60 × 133.24
  4. Step 4: Simplify right side
    142.42x = 28,326.82
  5. Step 5: Solve for x
    x = 28,326.82/142.42
  6. Step 6: Final answer
    x = 198.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.