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Finding the Fourth Proportional to 266.24, 397.78 and 211.04

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Solution

The fourth proportional to 266.24, 397.78 and 211.04 is: 315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.24 : 397.78 = 211.04 : x
  2. Step 2: Convert to fraction form
    266.24/397.78 = 211.04/x
  3. Step 3: Cross multiply
    266.24x = 397.78 × 211.04
  4. Step 4: Simplify right side
    266.24x = 83,947.49
  5. Step 5: Solve for x
    x = 83,947.49/266.24
  6. Step 6: Final answer
    x = 315.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.