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Finding the Fourth Proportional to 266.17, 364.92 and 261.31

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Solution

The fourth proportional to 266.17, 364.92 and 261.31 is: 358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.17 : 364.92 = 261.31 : x
  2. Step 2: Convert to fraction form
    266.17/364.92 = 261.31/x
  3. Step 3: Cross multiply
    266.17x = 364.92 × 261.31
  4. Step 4: Simplify right side
    266.17x = 95,356.59
  5. Step 5: Solve for x
    x = 95,356.59/266.17
  6. Step 6: Final answer
    x = 358.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.