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Finding the Fourth Proportional to 33.98, 46.78 and 32.87

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Solution

The fourth proportional to 33.98, 46.78 and 32.87 is: 45.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.98 : 46.78 = 32.87 : x
  2. Step 2: Convert to fraction form
    33.98/46.78 = 32.87/x
  3. Step 3: Cross multiply
    33.98x = 46.78 × 32.87
  4. Step 4: Simplify right side
    33.98x = 1,537.61
  5. Step 5: Solve for x
    x = 1,537.61/33.98
  6. Step 6: Final answer
    x = 45.25

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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.