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Finding the Fourth Proportional to 97.56, 133.80 and 93.84

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Solution

The fourth proportional to 97.56, 133.80 and 93.84 is: 128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.56 : 133.80 = 93.84 : x
  2. Step 2: Convert to fraction form
    97.56/133.80 = 93.84/x
  3. Step 3: Cross multiply
    97.56x = 133.80 × 93.84
  4. Step 4: Simplify right side
    97.56x = 12,555.79
  5. Step 5: Solve for x
    x = 12,555.79/97.56
  6. Step 6: Final answer
    x = 128.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.