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Finding the Fourth Proportional to 97.86, 135.29 and 93.55

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Solution

The fourth proportional to 97.86, 135.29 and 93.55 is: 129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.86 : 135.29 = 93.55 : x
  2. Step 2: Convert to fraction form
    97.86/135.29 = 93.55/x
  3. Step 3: Cross multiply
    97.86x = 135.29 × 93.55
  4. Step 4: Simplify right side
    97.86x = 12,656.61
  5. Step 5: Solve for x
    x = 12,656.61/97.86
  6. Step 6: Final answer
    x = 129.34

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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.