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Finding the Fourth Proportional to 44.59, 66.89 and 21.79

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Solution

The fourth proportional to 44.59, 66.89 and 21.79 is: 32.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.59 : 66.89 = 21.79 : x
  2. Step 2: Convert to fraction form
    44.59/66.89 = 21.79/x
  3. Step 3: Cross multiply
    44.59x = 66.89 × 21.79
  4. Step 4: Simplify right side
    44.59x = 1,457.53
  5. Step 5: Solve for x
    x = 1,457.53/44.59
  6. Step 6: Final answer
    x = 32.69

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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.