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Finding the Fourth Proportional to 631.36, 947.16 and 198.52

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Solution

The fourth proportional to 631.36, 947.16 and 198.52 is: 297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.36 : 947.16 = 198.52 : x
  2. Step 2: Convert to fraction form
    631.36/947.16 = 198.52/x
  3. Step 3: Cross multiply
    631.36x = 947.16 × 198.52
  4. Step 4: Simplify right side
    631.36x = 188,030.20
  5. Step 5: Solve for x
    x = 188,030.20/631.36
  6. Step 6: Final answer
    x = 297.82

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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.