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Finding the Fourth Proportional to 73.10, 108.88 and 72.77

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Solution

The fourth proportional to 73.10, 108.88 and 72.77 is: 108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.10 : 108.88 = 72.77 : x
  2. Step 2: Convert to fraction form
    73.10/108.88 = 72.77/x
  3. Step 3: Cross multiply
    73.10x = 108.88 × 72.77
  4. Step 4: Simplify right side
    73.10x = 7,923.20
  5. Step 5: Solve for x
    x = 7,923.20/73.10
  6. Step 6: Final answer
    x = 108.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.