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Finding the Fourth Proportional to 73.76, 109.81 and 73.38

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Solution

The fourth proportional to 73.76, 109.81 and 73.38 is: 109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.76 : 109.81 = 73.38 : x
  2. Step 2: Convert to fraction form
    73.76/109.81 = 73.38/x
  3. Step 3: Cross multiply
    73.76x = 109.81 × 73.38
  4. Step 4: Simplify right side
    73.76x = 8,057.86
  5. Step 5: Solve for x
    x = 8,057.86/73.76
  6. Step 6: Final answer
    x = 109.24

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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.