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Finding the Fourth Proportional to 91.98, 126.99 and 71.28

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Solution

The fourth proportional to 91.98, 126.99 and 71.28 is: 98.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.98 : 126.99 = 71.28 : x
  2. Step 2: Convert to fraction form
    91.98/126.99 = 71.28/x
  3. Step 3: Cross multiply
    91.98x = 126.99 × 71.28
  4. Step 4: Simplify right side
    91.98x = 9,051.85
  5. Step 5: Solve for x
    x = 9,051.85/91.98
  6. Step 6: Final answer
    x = 98.41

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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.