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Finding the Fourth Proportional to 111.28, 153.42 and 74.35

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Solution

The fourth proportional to 111.28, 153.42 and 74.35 is: 102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.28 : 153.42 = 74.35 : x
  2. Step 2: Convert to fraction form
    111.28/153.42 = 74.35/x
  3. Step 3: Cross multiply
    111.28x = 153.42 × 74.35
  4. Step 4: Simplify right side
    111.28x = 11,406.78
  5. Step 5: Solve for x
    x = 11,406.78/111.28
  6. Step 6: Final answer
    x = 102.51

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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.