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Finding the Fourth Proportional to 275.97, 411.66 and 266.49

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Solution

The fourth proportional to 275.97, 411.66 and 266.49 is: 397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.97 : 411.66 = 266.49 : x
  2. Step 2: Convert to fraction form
    275.97/411.66 = 266.49/x
  3. Step 3: Cross multiply
    275.97x = 411.66 × 266.49
  4. Step 4: Simplify right side
    275.97x = 109,703.27
  5. Step 5: Solve for x
    x = 109,703.27/275.97
  6. Step 6: Final answer
    x = 397.52

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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.