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Finding the Fourth Proportional to 69.79, 96.37 and 49.13

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Solution

The fourth proportional to 69.79, 96.37 and 49.13 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.79 : 96.37 = 49.13 : x
  2. Step 2: Convert to fraction form
    69.79/96.37 = 49.13/x
  3. Step 3: Cross multiply
    69.79x = 96.37 × 49.13
  4. Step 4: Simplify right side
    69.79x = 4,734.66
  5. Step 5: Solve for x
    x = 4,734.66/69.79
  6. Step 6: Final answer
    x = 67.84

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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.