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Finding the Fourth Proportional to 631.28, 946.61 and 261

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Solution

The fourth proportional to 631.28, 946.61 and 261 is: 391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.28 : 946.61 = 261 : x
  2. Step 2: Convert to fraction form
    631.28/946.61 = 261/x
  3. Step 3: Cross multiply
    631.28x = 946.61 × 261
  4. Step 4: Simplify right side
    631.28x = 247,063.91
  5. Step 5: Solve for x
    x = 247,063.91/631.28
  6. Step 6: Final answer
    x = 391.37

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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.