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Finding the Fourth Proportional to 44.00, 66.05 and 25.74

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Solution

The fourth proportional to 44.00, 66.05 and 25.74 is: 38.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.00 : 66.05 = 25.74 : x
  2. Step 2: Convert to fraction form
    44.00/66.05 = 25.74/x
  3. Step 3: Cross multiply
    44.00x = 66.05 × 25.74
  4. Step 4: Simplify right side
    44.00x = 1,700.39
  5. Step 5: Solve for x
    x = 1,700.39/44.00
  6. Step 6: Final answer
    x = 38.64

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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.