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Finding the Fourth Proportional to 104.99, 157.28 and 77.85

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Solution

The fourth proportional to 104.99, 157.28 and 77.85 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.99 : 157.28 = 77.85 : x
  2. Step 2: Convert to fraction form
    104.99/157.28 = 77.85/x
  3. Step 3: Cross multiply
    104.99x = 157.28 × 77.85
  4. Step 4: Simplify right side
    104.99x = 12,243.86
  5. Step 5: Solve for x
    x = 12,243.86/104.99
  6. Step 6: Final answer
    x = 116.62

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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.