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Finding the Fourth Proportional to 142.19, 211.95 and 134.49

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Solution

The fourth proportional to 142.19, 211.95 and 134.49 is: 200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.19 : 211.95 = 134.49 : x
  2. Step 2: Convert to fraction form
    142.19/211.95 = 134.49/x
  3. Step 3: Cross multiply
    142.19x = 211.95 × 134.49
  4. Step 4: Simplify right side
    142.19x = 28,505.95
  5. Step 5: Solve for x
    x = 28,505.95/142.19
  6. Step 6: Final answer
    x = 200.48

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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.