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Finding the Fourth Proportional to 46.79, 69.91 and 38.12

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Solution

The fourth proportional to 46.79, 69.91 and 38.12 is: 56.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.79 : 69.91 = 38.12 : x
  2. Step 2: Convert to fraction form
    46.79/69.91 = 38.12/x
  3. Step 3: Cross multiply
    46.79x = 69.91 × 38.12
  4. Step 4: Simplify right side
    46.79x = 2,664.97
  5. Step 5: Solve for x
    x = 2,664.97/46.79
  6. Step 6: Final answer
    x = 56.96

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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.