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Finding the Fourth Proportional to 97.84, 146.82 and 86.32

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Solution

The fourth proportional to 97.84, 146.82 and 86.32 is: 129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 146.82 = 86.32 : x
  2. Step 2: Convert to fraction form
    97.84/146.82 = 86.32/x
  3. Step 3: Cross multiply
    97.84x = 146.82 × 86.32
  4. Step 4: Simplify right side
    97.84x = 12,673.50
  5. Step 5: Solve for x
    x = 12,673.50/97.84
  6. Step 6: Final answer
    x = 129.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.