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Finding the Fourth Proportional to 46.09, 69.10 and 25.78

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Solution

The fourth proportional to 46.09, 69.10 and 25.78 is: 38.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.09 : 69.10 = 25.78 : x
  2. Step 2: Convert to fraction form
    46.09/69.10 = 25.78/x
  3. Step 3: Cross multiply
    46.09x = 69.10 × 25.78
  4. Step 4: Simplify right side
    46.09x = 1,781.40
  5. Step 5: Solve for x
    x = 1,781.40/46.09
  6. Step 6: Final answer
    x = 38.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.