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Finding the Fourth Proportional to 272.68, 408.06 and 240.04

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Solution

The fourth proportional to 272.68, 408.06 and 240.04 is: 359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.68 : 408.06 = 240.04 : x
  2. Step 2: Convert to fraction form
    272.68/408.06 = 240.04/x
  3. Step 3: Cross multiply
    272.68x = 408.06 × 240.04
  4. Step 4: Simplify right side
    272.68x = 97,950.72
  5. Step 5: Solve for x
    x = 97,950.72/272.68
  6. Step 6: Final answer
    x = 359.21

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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.