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Finding the Fourth Proportional to 46.32, 63.94 and 31.78

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Solution

The fourth proportional to 46.32, 63.94 and 31.78 is: 43.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.32 : 63.94 = 31.78 : x
  2. Step 2: Convert to fraction form
    46.32/63.94 = 31.78/x
  3. Step 3: Cross multiply
    46.32x = 63.94 × 31.78
  4. Step 4: Simplify right side
    46.32x = 2,032.01
  5. Step 5: Solve for x
    x = 2,032.01/46.32
  6. Step 6: Final answer
    x = 43.87

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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.