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Finding the Fourth Proportional to 142.40, 197.45 and 135.20

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Solution

The fourth proportional to 142.40, 197.45 and 135.20 is: 187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.40 : 197.45 = 135.20 : x
  2. Step 2: Convert to fraction form
    142.40/197.45 = 135.20/x
  3. Step 3: Cross multiply
    142.40x = 197.45 × 135.20
  4. Step 4: Simplify right side
    142.40x = 26,695.24
  5. Step 5: Solve for x
    x = 26,695.24/142.40
  6. Step 6: Final answer
    x = 187.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.