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Finding the Fourth Proportional to 272.02, 408.06 and 98.70

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Solution

The fourth proportional to 272.02, 408.06 and 98.70 is: 148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.02 : 408.06 = 98.70 : x
  2. Step 2: Convert to fraction form
    272.02/408.06 = 98.70/x
  3. Step 3: Cross multiply
    272.02x = 408.06 × 98.70
  4. Step 4: Simplify right side
    272.02x = 40,275.52
  5. Step 5: Solve for x
    x = 40,275.52/272.02
  6. Step 6: Final answer
    x = 148.06

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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.