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Finding the Fourth Proportional to 315.48, 472.38 and 269.56

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Solution

The fourth proportional to 315.48, 472.38 and 269.56 is: 403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.48 : 472.38 = 269.56 : x
  2. Step 2: Convert to fraction form
    315.48/472.38 = 269.56/x
  3. Step 3: Cross multiply
    315.48x = 472.38 × 269.56
  4. Step 4: Simplify right side
    315.48x = 127,334.75
  5. Step 5: Solve for x
    x = 127,334.75/315.48
  6. Step 6: Final answer
    x = 403.62

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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.