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Finding the Fourth Proportional to 397.66, 548.92 and 266.74

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Solution

The fourth proportional to 397.66, 548.92 and 266.74 is: 368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.66 : 548.92 = 266.74 : x
  2. Step 2: Convert to fraction form
    397.66/548.92 = 266.74/x
  3. Step 3: Cross multiply
    397.66x = 548.92 × 266.74
  4. Step 4: Simplify right side
    397.66x = 146,418.25
  5. Step 5: Solve for x
    x = 146,418.25/397.66
  6. Step 6: Final answer
    x = 368.20

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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.