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Finding the Fourth Proportional to 275.92, 411.93 and 266.31

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Solution

The fourth proportional to 275.92, 411.93 and 266.31 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 411.93 = 266.31 : x
  2. Step 2: Convert to fraction form
    275.92/411.93 = 266.31/x
  3. Step 3: Cross multiply
    275.92x = 411.93 × 266.31
  4. Step 4: Simplify right side
    275.92x = 109,701.08
  5. Step 5: Solve for x
    x = 109,701.08/275.92
  6. Step 6: Final answer
    x = 397.59

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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.