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Finding the Fourth Proportional to 97.68, 145.83 and 91.17

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Solution

The fourth proportional to 97.68, 145.83 and 91.17 is: 136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.68 : 145.83 = 91.17 : x
  2. Step 2: Convert to fraction form
    97.68/145.83 = 91.17/x
  3. Step 3: Cross multiply
    97.68x = 145.83 × 91.17
  4. Step 4: Simplify right side
    97.68x = 13,295.32
  5. Step 5: Solve for x
    x = 13,295.32/97.68
  6. Step 6: Final answer
    x = 136.11

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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.