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Finding the Fourth Proportional to 103.28, 153.78 and 101.74

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Solution

The fourth proportional to 103.28, 153.78 and 101.74 is: 151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.28 : 153.78 = 101.74 : x
  2. Step 2: Convert to fraction form
    103.28/153.78 = 101.74/x
  3. Step 3: Cross multiply
    103.28x = 153.78 × 101.74
  4. Step 4: Simplify right side
    103.28x = 15,645.58
  5. Step 5: Solve for x
    x = 15,645.58/103.28
  6. Step 6: Final answer
    x = 151.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.