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Finding the Fourth Proportional to 73.70, 100.80 and 72.08

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Solution

The fourth proportional to 73.70, 100.80 and 72.08 is: 98.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.70 : 100.80 = 72.08 : x
  2. Step 2: Convert to fraction form
    73.70/100.80 = 72.08/x
  3. Step 3: Cross multiply
    73.70x = 100.80 × 72.08
  4. Step 4: Simplify right side
    73.70x = 7,265.66
  5. Step 5: Solve for x
    x = 7,265.66/73.70
  6. Step 6: Final answer
    x = 98.58

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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.