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Finding the Fourth Proportional to 272.52, 406.13 and 266.12

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Solution

The fourth proportional to 272.52, 406.13 and 266.12 is: 396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.52 : 406.13 = 266.12 : x
  2. Step 2: Convert to fraction form
    272.52/406.13 = 266.12/x
  3. Step 3: Cross multiply
    272.52x = 406.13 × 266.12
  4. Step 4: Simplify right side
    272.52x = 108,079.32
  5. Step 5: Solve for x
    x = 108,079.32/272.52
  6. Step 6: Final answer
    x = 396.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.