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Finding the Fourth Proportional to 397.25, 547.79 and 266.43

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Solution

The fourth proportional to 397.25, 547.79 and 266.43 is: 367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.25 : 547.79 = 266.43 : x
  2. Step 2: Convert to fraction form
    397.25/547.79 = 266.43/x
  3. Step 3: Cross multiply
    397.25x = 547.79 × 266.43
  4. Step 4: Simplify right side
    397.25x = 145,946.36
  5. Step 5: Solve for x
    x = 145,946.36/397.25
  6. Step 6: Final answer
    x = 367.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.