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Finding the Fourth Proportional to 315.28, 470.39 and 269.10

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Solution

The fourth proportional to 315.28, 470.39 and 269.10 is: 401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.28 : 470.39 = 269.10 : x
  2. Step 2: Convert to fraction form
    315.28/470.39 = 269.10/x
  3. Step 3: Cross multiply
    315.28x = 470.39 × 269.10
  4. Step 4: Simplify right side
    315.28x = 126,581.95
  5. Step 5: Solve for x
    x = 126,581.95/315.28
  6. Step 6: Final answer
    x = 401.49

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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.