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Finding the Fourth Proportional to 266.24, 398.46 and 174.80

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Solution

The fourth proportional to 266.24, 398.46 and 174.80 is: 261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.24 : 398.46 = 174.80 : x
  2. Step 2: Convert to fraction form
    266.24/398.46 = 174.80/x
  3. Step 3: Cross multiply
    266.24x = 398.46 × 174.80
  4. Step 4: Simplify right side
    266.24x = 69,650.81
  5. Step 5: Solve for x
    x = 69,650.81/266.24
  6. Step 6: Final answer
    x = 261.61

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