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Finding the Fourth Proportional to 266.23, 397.31 and 262.79

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Solution

The fourth proportional to 266.23, 397.31 and 262.79 is: 392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.23 : 397.31 = 262.79 : x
  2. Step 2: Convert to fraction form
    266.23/397.31 = 262.79/x
  3. Step 3: Cross multiply
    266.23x = 397.31 × 262.79
  4. Step 4: Simplify right side
    266.23x = 104,407.77
  5. Step 5: Solve for x
    x = 104,407.77/266.23
  6. Step 6: Final answer
    x = 392.17

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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.