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Finding the Fourth Proportional to 73.21, 109.82 and 32.65

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Solution

The fourth proportional to 73.21, 109.82 and 32.65 is: 48.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.21 : 109.82 = 32.65 : x
  2. Step 2: Convert to fraction form
    73.21/109.82 = 32.65/x
  3. Step 3: Cross multiply
    73.21x = 109.82 × 32.65
  4. Step 4: Simplify right side
    73.21x = 3,585.62
  5. Step 5: Solve for x
    x = 3,585.62/73.21
  6. Step 6: Final answer
    x = 48.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.