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Finding the Fourth Proportional to 97.50, 134.26 and 85.15

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Solution

The fourth proportional to 97.50, 134.26 and 85.15 is: 117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.50 : 134.26 = 85.15 : x
  2. Step 2: Convert to fraction form
    97.50/134.26 = 85.15/x
  3. Step 3: Cross multiply
    97.50x = 134.26 × 85.15
  4. Step 4: Simplify right side
    97.50x = 11,432.19
  5. Step 5: Solve for x
    x = 11,432.19/97.50
  6. Step 6: Final answer
    x = 117.25

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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.