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Finding the Fourth Proportional to 142.76, 212.83 and 130.92

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Solution

The fourth proportional to 142.76, 212.83 and 130.92 is: 195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.76 : 212.83 = 130.92 : x
  2. Step 2: Convert to fraction form
    142.76/212.83 = 130.92/x
  3. Step 3: Cross multiply
    142.76x = 212.83 × 130.92
  4. Step 4: Simplify right side
    142.76x = 27,862.58
  5. Step 5: Solve for x
    x = 27,862.58/142.76
  6. Step 6: Final answer
    x = 195.17

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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.