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Finding the Fourth Proportional to 44.25, 66.30 and 31.39

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Solution

The fourth proportional to 44.25, 66.30 and 31.39 is: 47.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.25 : 66.30 = 31.39 : x
  2. Step 2: Convert to fraction form
    44.25/66.30 = 31.39/x
  3. Step 3: Cross multiply
    44.25x = 66.30 × 31.39
  4. Step 4: Simplify right side
    44.25x = 2,080.99
  5. Step 5: Solve for x
    x = 2,080.99/44.25
  6. Step 6: Final answer
    x = 47.03

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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.