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Finding the Fourth Proportional to 97.12, 144.91 and 86.46

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Solution

The fourth proportional to 97.12, 144.91 and 86.46 is: 129.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.12 : 144.91 = 86.46 : x
  2. Step 2: Convert to fraction form
    97.12/144.91 = 86.46/x
  3. Step 3: Cross multiply
    97.12x = 144.91 × 86.46
  4. Step 4: Simplify right side
    97.12x = 12,528.92
  5. Step 5: Solve for x
    x = 12,528.92/97.12
  6. Step 6: Final answer
    x = 129.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.