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Finding the Fourth Proportional to 84.40, 126.34 and 77.48

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Solution

The fourth proportional to 84.40, 126.34 and 77.48 is: 115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.40 : 126.34 = 77.48 : x
  2. Step 2: Convert to fraction form
    84.40/126.34 = 77.48/x
  3. Step 3: Cross multiply
    84.40x = 126.34 × 77.48
  4. Step 4: Simplify right side
    84.40x = 9,788.82
  5. Step 5: Solve for x
    x = 9,788.82/84.40
  6. Step 6: Final answer
    x = 115.98

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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.