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Finding the Fourth Proportional to 111.40, 153.54 and 102.28

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Solution

The fourth proportional to 111.40, 153.54 and 102.28 is: 140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.40 : 153.54 = 102.28 : x
  2. Step 2: Convert to fraction form
    111.40/153.54 = 102.28/x
  3. Step 3: Cross multiply
    111.40x = 153.54 × 102.28
  4. Step 4: Simplify right side
    111.40x = 15,704.07
  5. Step 5: Solve for x
    x = 15,704.07/111.40
  6. Step 6: Final answer
    x = 140.97

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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.