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Finding the Fourth Proportional to 45.73, 68.27 and 44.02

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Solution

The fourth proportional to 45.73, 68.27 and 44.02 is: 65.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.73 : 68.27 = 44.02 : x
  2. Step 2: Convert to fraction form
    45.73/68.27 = 44.02/x
  3. Step 3: Cross multiply
    45.73x = 68.27 × 44.02
  4. Step 4: Simplify right side
    45.73x = 3,005.25
  5. Step 5: Solve for x
    x = 3,005.25/45.73
  6. Step 6: Final answer
    x = 65.72

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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.