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Finding the Fourth Proportional to 73.98, 101.28 and 73.02

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Solution

The fourth proportional to 73.98, 101.28 and 73.02 is: 99.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.98 : 101.28 = 73.02 : x
  2. Step 2: Convert to fraction form
    73.98/101.28 = 73.02/x
  3. Step 3: Cross multiply
    73.98x = 101.28 × 73.02
  4. Step 4: Simplify right side
    73.98x = 7,395.47
  5. Step 5: Solve for x
    x = 7,395.47/73.98
  6. Step 6: Final answer
    x = 99.97

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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.