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Finding the Fourth Proportional to 104.80, 157.02 and 49.90

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Solution

The fourth proportional to 104.80, 157.02 and 49.90 is: 74.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.80 : 157.02 = 49.90 : x
  2. Step 2: Convert to fraction form
    104.80/157.02 = 49.90/x
  3. Step 3: Cross multiply
    104.80x = 157.02 × 49.90
  4. Step 4: Simplify right side
    104.80x = 7,835.30
  5. Step 5: Solve for x
    x = 7,835.30/104.80
  6. Step 6: Final answer
    x = 74.76

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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.