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Finding the Fourth Proportional to 110.98, 153.17 and 74.14

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Solution

The fourth proportional to 110.98, 153.17 and 74.14 is: 102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.98 : 153.17 = 74.14 : x
  2. Step 2: Convert to fraction form
    110.98/153.17 = 74.14/x
  3. Step 3: Cross multiply
    110.98x = 153.17 × 74.14
  4. Step 4: Simplify right side
    110.98x = 11,356.02
  5. Step 5: Solve for x
    x = 11,356.02/110.98
  6. Step 6: Final answer
    x = 102.32

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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.