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Finding the Fourth Proportional to 73.69, 102.21 and 71.23

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Solution

The fourth proportional to 73.69, 102.21 and 71.23 is: 98.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 102.21 = 71.23 : x
  2. Step 2: Convert to fraction form
    73.69/102.21 = 71.23/x
  3. Step 3: Cross multiply
    73.69x = 102.21 × 71.23
  4. Step 4: Simplify right side
    73.69x = 7,279.55
  5. Step 5: Solve for x
    x = 7,279.55/73.69
  6. Step 6: Final answer
    x = 98.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.