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Finding the Fourth Proportional to 74.98, 102.17 and 73.32

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Solution

The fourth proportional to 74.98, 102.17 and 73.32 is: 99.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.98 : 102.17 = 73.32 : x
  2. Step 2: Convert to fraction form
    74.98/102.17 = 73.32/x
  3. Step 3: Cross multiply
    74.98x = 102.17 × 73.32
  4. Step 4: Simplify right side
    74.98x = 7,490.90
  5. Step 5: Solve for x
    x = 7,490.90/74.98
  6. Step 6: Final answer
    x = 99.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.