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Finding the Fourth Proportional to 55.50, 83.17 and 44.16

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Solution

The fourth proportional to 55.50, 83.17 and 44.16 is: 66.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.50 : 83.17 = 44.16 : x
  2. Step 2: Convert to fraction form
    55.50/83.17 = 44.16/x
  3. Step 3: Cross multiply
    55.50x = 83.17 × 44.16
  4. Step 4: Simplify right side
    55.50x = 3,672.79
  5. Step 5: Solve for x
    x = 3,672.79/55.50
  6. Step 6: Final answer
    x = 66.18

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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.