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Finding the Fourth Proportional to 59.19, 81.77 and 49.97

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Solution

The fourth proportional to 59.19, 81.77 and 49.97 is: 69.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.19 : 81.77 = 49.97 : x
  2. Step 2: Convert to fraction form
    59.19/81.77 = 49.97/x
  3. Step 3: Cross multiply
    59.19x = 81.77 × 49.97
  4. Step 4: Simplify right side
    59.19x = 4,085.39
  5. Step 5: Solve for x
    x = 4,085.39/59.19
  6. Step 6: Final answer
    x = 69.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.