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Finding the Fourth Proportional to 90.97, 124.94 and 82.77

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Solution

The fourth proportional to 90.97, 124.94 and 82.77 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.97 : 124.94 = 82.77 : x
  2. Step 2: Convert to fraction form
    90.97/124.94 = 82.77/x
  3. Step 3: Cross multiply
    90.97x = 124.94 × 82.77
  4. Step 4: Simplify right side
    90.97x = 10,341.20
  5. Step 5: Solve for x
    x = 10,341.20/90.97
  6. Step 6: Final answer
    x = 113.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.