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Finding the Fourth Proportional to 631.73, 947.96 and 266.49

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Solution

The fourth proportional to 631.73, 947.96 and 266.49 is: 399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.73 : 947.96 = 266.49 : x
  2. Step 2: Convert to fraction form
    631.73/947.96 = 266.49/x
  3. Step 3: Cross multiply
    631.73x = 947.96 × 266.49
  4. Step 4: Simplify right side
    631.73x = 252,621.86
  5. Step 5: Solve for x
    x = 252,621.86/631.73
  6. Step 6: Final answer
    x = 399.89

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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.