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Finding the Fourth Proportional to 631.88, 947.86 and 215.44

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Solution

The fourth proportional to 631.88, 947.86 and 215.44 is: 323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.88 : 947.86 = 215.44 : x
  2. Step 2: Convert to fraction form
    631.88/947.86 = 215.44/x
  3. Step 3: Cross multiply
    631.88x = 947.86 × 215.44
  4. Step 4: Simplify right side
    631.88x = 204,206.96
  5. Step 5: Solve for x
    x = 204,206.96/631.88
  6. Step 6: Final answer
    x = 323.17

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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.