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Finding the Fourth Proportional to 632.14, 947.06 and 266.27

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Solution

The fourth proportional to 632.14, 947.06 and 266.27 is: 398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.14 : 947.06 = 266.27 : x
  2. Step 2: Convert to fraction form
    632.14/947.06 = 266.27/x
  3. Step 3: Cross multiply
    632.14x = 947.06 × 266.27
  4. Step 4: Simplify right side
    632.14x = 252,173.67
  5. Step 5: Solve for x
    x = 252,173.67/632.14
  6. Step 6: Final answer
    x = 398.92

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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.