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Finding the Fourth Proportional to 60.70, 83.80 and 49.84

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Solution

The fourth proportional to 60.70, 83.80 and 49.84 is: 68.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.70 : 83.80 = 49.84 : x
  2. Step 2: Convert to fraction form
    60.70/83.80 = 49.84/x
  3. Step 3: Cross multiply
    60.70x = 83.80 × 49.84
  4. Step 4: Simplify right side
    60.70x = 4,176.59
  5. Step 5: Solve for x
    x = 4,176.59/60.70
  6. Step 6: Final answer
    x = 68.81

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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.