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Finding the Fourth Proportional to 266.57, 397.56 and 261.71

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Solution

The fourth proportional to 266.57, 397.56 and 261.71 is: 390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.57 : 397.56 = 261.71 : x
  2. Step 2: Convert to fraction form
    266.57/397.56 = 261.71/x
  3. Step 3: Cross multiply
    266.57x = 397.56 × 261.71
  4. Step 4: Simplify right side
    266.57x = 104,043.32
  5. Step 5: Solve for x
    x = 104,043.32/266.57
  6. Step 6: Final answer
    x = 390.31

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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.