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Finding the Fourth Proportional to 631.39, 947.10 and 198.55

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Solution

The fourth proportional to 631.39, 947.10 and 198.55 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.39 : 947.10 = 198.55 : x
  2. Step 2: Convert to fraction form
    631.39/947.10 = 198.55/x
  3. Step 3: Cross multiply
    631.39x = 947.10 × 198.55
  4. Step 4: Simplify right side
    631.39x = 188,046.71
  5. Step 5: Solve for x
    x = 188,046.71/631.39
  6. Step 6: Final answer
    x = 297.83

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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.