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Finding the Fourth Proportional to 83.02, 114.56 and 49.84

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Solution

The fourth proportional to 83.02, 114.56 and 49.84 is: 68.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.02 : 114.56 = 49.84 : x
  2. Step 2: Convert to fraction form
    83.02/114.56 = 49.84/x
  3. Step 3: Cross multiply
    83.02x = 114.56 × 49.84
  4. Step 4: Simplify right side
    83.02x = 5,709.10
  5. Step 5: Solve for x
    x = 5,709.10/83.02
  6. Step 6: Final answer
    x = 68.77

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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.