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Finding the Fourth Proportional to 74.97, 111.29 and 74.30

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Solution

The fourth proportional to 74.97, 111.29 and 74.30 is: 110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.97 : 111.29 = 74.30 : x
  2. Step 2: Convert to fraction form
    74.97/111.29 = 74.30/x
  3. Step 3: Cross multiply
    74.97x = 111.29 × 74.30
  4. Step 4: Simplify right side
    74.97x = 8,267.92
  5. Step 5: Solve for x
    x = 8,267.92/74.97
  6. Step 6: Final answer
    x = 110.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.