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Finding the Fourth Proportional to 142.95, 197.34 and 133.66

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Solution

The fourth proportional to 142.95, 197.34 and 133.66 is: 184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.95 : 197.34 = 133.66 : x
  2. Step 2: Convert to fraction form
    142.95/197.34 = 133.66/x
  3. Step 3: Cross multiply
    142.95x = 197.34 × 133.66
  4. Step 4: Simplify right side
    142.95x = 26,376.46
  5. Step 5: Solve for x
    x = 26,376.46/142.95
  6. Step 6: Final answer
    x = 184.52

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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.