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Finding the Fourth Proportional to 142.68, 215.13 and 130.68

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Solution

The fourth proportional to 142.68, 215.13 and 130.68 is: 197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.68 : 215.13 = 130.68 : x
  2. Step 2: Convert to fraction form
    142.68/215.13 = 130.68/x
  3. Step 3: Cross multiply
    142.68x = 215.13 × 130.68
  4. Step 4: Simplify right side
    142.68x = 28,113.19
  5. Step 5: Solve for x
    x = 28,113.19/142.68
  6. Step 6: Final answer
    x = 197.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.