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Finding the Fourth Proportional to 142.89, 212.79 and 134.13

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Solution

The fourth proportional to 142.89, 212.79 and 134.13 is: 199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.89 : 212.79 = 134.13 : x
  2. Step 2: Convert to fraction form
    142.89/212.79 = 134.13/x
  3. Step 3: Cross multiply
    142.89x = 212.79 × 134.13
  4. Step 4: Simplify right side
    142.89x = 28,541.52
  5. Step 5: Solve for x
    x = 28,541.52/142.89
  6. Step 6: Final answer
    x = 199.74

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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.