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Finding the Fourth Proportional to 84.90, 117.17 and 77.23

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Solution

The fourth proportional to 84.90, 117.17 and 77.23 is: 106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.90 : 117.17 = 77.23 : x
  2. Step 2: Convert to fraction form
    84.90/117.17 = 77.23/x
  3. Step 3: Cross multiply
    84.90x = 117.17 × 77.23
  4. Step 4: Simplify right side
    84.90x = 9,048.98
  5. Step 5: Solve for x
    x = 9,048.98/84.90
  6. Step 6: Final answer
    x = 106.59

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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.