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Finding the Fourth Proportional to 101.74, 151.49 and 100.52

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Solution

The fourth proportional to 101.74, 151.49 and 100.52 is: 149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.74 : 151.49 = 100.52 : x
  2. Step 2: Convert to fraction form
    101.74/151.49 = 100.52/x
  3. Step 3: Cross multiply
    101.74x = 151.49 × 100.52
  4. Step 4: Simplify right side
    101.74x = 15,227.77
  5. Step 5: Solve for x
    x = 15,227.77/101.74
  6. Step 6: Final answer
    x = 149.67

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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.