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Finding the Fourth Proportional to 49.60, 73.85 and 48.70

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Solution

The fourth proportional to 49.60, 73.85 and 48.70 is: 72.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.60 : 73.85 = 48.70 : x
  2. Step 2: Convert to fraction form
    49.60/73.85 = 48.70/x
  3. Step 3: Cross multiply
    49.60x = 73.85 × 48.70
  4. Step 4: Simplify right side
    49.60x = 3,596.50
  5. Step 5: Solve for x
    x = 3,596.50/49.60
  6. Step 6: Final answer
    x = 72.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.