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Finding the Fourth Proportional to 73.18, 100.96 and 57.62

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Solution

The fourth proportional to 73.18, 100.96 and 57.62 is: 79.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.18 : 100.96 = 57.62 : x
  2. Step 2: Convert to fraction form
    73.18/100.96 = 57.62/x
  3. Step 3: Cross multiply
    73.18x = 100.96 × 57.62
  4. Step 4: Simplify right side
    73.18x = 5,817.42
  5. Step 5: Solve for x
    x = 5,817.42/73.18
  6. Step 6: Final answer
    x = 79.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.