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Finding the Fourth Proportional to 270.47, 406.05 and 269.11

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Solution

The fourth proportional to 270.47, 406.05 and 269.11 is: 404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.47 : 406.05 = 269.11 : x
  2. Step 2: Convert to fraction form
    270.47/406.05 = 269.11/x
  3. Step 3: Cross multiply
    270.47x = 406.05 × 269.11
  4. Step 4: Simplify right side
    270.47x = 109,272.12
  5. Step 5: Solve for x
    x = 109,272.12/270.47
  6. Step 6: Final answer
    x = 404.01

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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.