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Finding the Fourth Proportional to 101.78, 151.53 and 100.68

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Solution

The fourth proportional to 101.78, 151.53 and 100.68 is: 149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.78 : 151.53 = 100.68 : x
  2. Step 2: Convert to fraction form
    101.78/151.53 = 100.68/x
  3. Step 3: Cross multiply
    101.78x = 151.53 × 100.68
  4. Step 4: Simplify right side
    101.78x = 15,256.04
  5. Step 5: Solve for x
    x = 15,256.04/101.78
  6. Step 6: Final answer
    x = 149.89

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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.