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Finding the Fourth Proportional to 272.61, 411.05 and 269.19

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Solution

The fourth proportional to 272.61, 411.05 and 269.19 is: 405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.61 : 411.05 = 269.19 : x
  2. Step 2: Convert to fraction form
    272.61/411.05 = 269.19/x
  3. Step 3: Cross multiply
    272.61x = 411.05 × 269.19
  4. Step 4: Simplify right side
    272.61x = 110,649.20
  5. Step 5: Solve for x
    x = 110,649.20/272.61
  6. Step 6: Final answer
    x = 405.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.