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Finding the Fourth Proportional to 84.13, 115.94 and 60.77

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Solution

The fourth proportional to 84.13, 115.94 and 60.77 is: 83.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.13 : 115.94 = 60.77 : x
  2. Step 2: Convert to fraction form
    84.13/115.94 = 60.77/x
  3. Step 3: Cross multiply
    84.13x = 115.94 × 60.77
  4. Step 4: Simplify right side
    84.13x = 7,045.37
  5. Step 5: Solve for x
    x = 7,045.37/84.13
  6. Step 6: Final answer
    x = 83.75

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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.