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Finding the Fourth Proportional to 74.27, 101.72 and 71.67

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Solution

The fourth proportional to 74.27, 101.72 and 71.67 is: 98.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.27 : 101.72 = 71.67 : x
  2. Step 2: Convert to fraction form
    74.27/101.72 = 71.67/x
  3. Step 3: Cross multiply
    74.27x = 101.72 × 71.67
  4. Step 4: Simplify right side
    74.27x = 7,289.91
  5. Step 5: Solve for x
    x = 7,289.91/74.27
  6. Step 6: Final answer
    x = 98.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.