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Finding the Fourth Proportional to 101.75, 152.50 and 49.72

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Solution

The fourth proportional to 101.75, 152.50 and 49.72 is: 74.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.75 : 152.50 = 49.72 : x
  2. Step 2: Convert to fraction form
    101.75/152.50 = 49.72/x
  3. Step 3: Cross multiply
    101.75x = 152.50 × 49.72
  4. Step 4: Simplify right side
    101.75x = 7,581.29
  5. Step 5: Solve for x
    x = 7,581.29/101.75
  6. Step 6: Final answer
    x = 74.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.