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Finding the Fourth Proportional to 631.31, 947.14 and 198.47

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Solution

The fourth proportional to 631.31, 947.14 and 198.47 is: 297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.31 : 947.14 = 198.47 : x
  2. Step 2: Convert to fraction form
    631.31/947.14 = 198.47/x
  3. Step 3: Cross multiply
    631.31x = 947.14 × 198.47
  4. Step 4: Simplify right side
    631.31x = 187,977.20
  5. Step 5: Solve for x
    x = 187,977.20/631.31
  6. Step 6: Final answer
    x = 297.76

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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.