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Finding the Fourth Proportional to 266.47, 398.98 and 142.81

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Solution

The fourth proportional to 266.47, 398.98 and 142.81 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.47 : 398.98 = 142.81 : x
  2. Step 2: Convert to fraction form
    266.47/398.98 = 142.81/x
  3. Step 3: Cross multiply
    266.47x = 398.98 × 142.81
  4. Step 4: Simplify right side
    266.47x = 56,978.33
  5. Step 5: Solve for x
    x = 56,978.33/266.47
  6. Step 6: Final answer
    x = 213.83

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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.