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Finding the Fourth Proportional to 44.76, 67.02 and 31.20

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Solution

The fourth proportional to 44.76, 67.02 and 31.20 is: 46.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.76 : 67.02 = 31.20 : x
  2. Step 2: Convert to fraction form
    44.76/67.02 = 31.20/x
  3. Step 3: Cross multiply
    44.76x = 67.02 × 31.20
  4. Step 4: Simplify right side
    44.76x = 2,091.02
  5. Step 5: Solve for x
    x = 2,091.02/44.76
  6. Step 6: Final answer
    x = 46.72

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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.