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Finding the Fourth Proportional to 45.71, 63.02 and 34.65

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Solution

The fourth proportional to 45.71, 63.02 and 34.65 is: 47.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.71 : 63.02 = 34.65 : x
  2. Step 2: Convert to fraction form
    45.71/63.02 = 34.65/x
  3. Step 3: Cross multiply
    45.71x = 63.02 × 34.65
  4. Step 4: Simplify right side
    45.71x = 2,183.30
  5. Step 5: Solve for x
    x = 2,183.30/45.71
  6. Step 6: Final answer
    x = 47.76

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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.