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Finding the Fourth Proportional to 121, 166.98 and 91.98

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Solution

The fourth proportional to 121, 166.98 and 91.98 is: 126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121 : 166.98 = 91.98 : x
  2. Step 2: Convert to fraction form
    121/166.98 = 91.98/x
  3. Step 3: Cross multiply
    121x = 166.98 × 91.98
  4. Step 4: Simplify right side
    121x = 15,358.82
  5. Step 5: Solve for x
    x = 15,358.82/121
  6. Step 6: Final answer
    x = 126.93

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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.