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Finding the Fourth Proportional to 142.46, 197.13 and 130.16

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Solution

The fourth proportional to 142.46, 197.13 and 130.16 is: 180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.46 : 197.13 = 130.16 : x
  2. Step 2: Convert to fraction form
    142.46/197.13 = 130.16/x
  3. Step 3: Cross multiply
    142.46x = 197.13 × 130.16
  4. Step 4: Simplify right side
    142.46x = 25,658.31
  5. Step 5: Solve for x
    x = 25,658.31/142.46
  6. Step 6: Final answer
    x = 180.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.