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Finding the Fourth Proportional to 44.90, 61.84 and 31.76

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Solution

The fourth proportional to 44.90, 61.84 and 31.76 is: 43.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.90 : 61.84 = 31.76 : x
  2. Step 2: Convert to fraction form
    44.90/61.84 = 31.76/x
  3. Step 3: Cross multiply
    44.90x = 61.84 × 31.76
  4. Step 4: Simplify right side
    44.90x = 1,964.04
  5. Step 5: Solve for x
    x = 1,964.04/44.90
  6. Step 6: Final answer
    x = 43.75

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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.