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Finding the Fourth Proportional to 142.84, 212.69 and 134.92

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Solution

The fourth proportional to 142.84, 212.69 and 134.92 is: 200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.84 : 212.69 = 134.92 : x
  2. Step 2: Convert to fraction form
    142.84/212.69 = 134.92/x
  3. Step 3: Cross multiply
    142.84x = 212.69 × 134.92
  4. Step 4: Simplify right side
    142.84x = 28,696.13
  5. Step 5: Solve for x
    x = 28,696.13/142.84
  6. Step 6: Final answer
    x = 200.90

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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.