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Finding the Fourth Proportional to 315.28, 472.76 and 232.25

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Solution

The fourth proportional to 315.28, 472.76 and 232.25 is: 348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.28 : 472.76 = 232.25 : x
  2. Step 2: Convert to fraction form
    315.28/472.76 = 232.25/x
  3. Step 3: Cross multiply
    315.28x = 472.76 × 232.25
  4. Step 4: Simplify right side
    315.28x = 109,797.35
  5. Step 5: Solve for x
    x = 109,797.35/315.28
  6. Step 6: Final answer
    x = 348.26

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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.