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Finding the Fourth Proportional to 266.41, 399.07 and 174.88

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Solution

The fourth proportional to 266.41, 399.07 and 174.88 is: 261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.41 : 399.07 = 174.88 : x
  2. Step 2: Convert to fraction form
    266.41/399.07 = 174.88/x
  3. Step 3: Cross multiply
    266.41x = 399.07 × 174.88
  4. Step 4: Simplify right side
    266.41x = 69,789.36
  5. Step 5: Solve for x
    x = 69,789.36/266.41
  6. Step 6: Final answer
    x = 261.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.