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Finding the Fourth Proportional to 97.19, 146.50 and 87.27

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Solution

The fourth proportional to 97.19, 146.50 and 87.27 is: 131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.19 : 146.50 = 87.27 : x
  2. Step 2: Convert to fraction form
    97.19/146.50 = 87.27/x
  3. Step 3: Cross multiply
    97.19x = 146.50 × 87.27
  4. Step 4: Simplify right side
    97.19x = 12,785.06
  5. Step 5: Solve for x
    x = 12,785.06/97.19
  6. Step 6: Final answer
    x = 131.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.