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Finding the Fourth Proportional to 631.32, 946.98 and 198.78

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Solution

The fourth proportional to 631.32, 946.98 and 198.78 is: 298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.32 : 946.98 = 198.78 : x
  2. Step 2: Convert to fraction form
    631.32/946.98 = 198.78/x
  3. Step 3: Cross multiply
    631.32x = 946.98 × 198.78
  4. Step 4: Simplify right side
    631.32x = 188,240.68
  5. Step 5: Solve for x
    x = 188,240.68/631.32
  6. Step 6: Final answer
    x = 298.17

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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.