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Finding the Fourth Proportional to 66.03, 98.95 and 27.46

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Solution

The fourth proportional to 66.03, 98.95 and 27.46 is: 41.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.03 : 98.95 = 27.46 : x
  2. Step 2: Convert to fraction form
    66.03/98.95 = 27.46/x
  3. Step 3: Cross multiply
    66.03x = 98.95 × 27.46
  4. Step 4: Simplify right side
    66.03x = 2,717.17
  5. Step 5: Solve for x
    x = 2,717.17/66.03
  6. Step 6: Final answer
    x = 41.15

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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.