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Finding the Fourth Proportional to 266.35, 398.54 and 161.86

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Solution

The fourth proportional to 266.35, 398.54 and 161.86 is: 242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.35 : 398.54 = 161.86 : x
  2. Step 2: Convert to fraction form
    266.35/398.54 = 161.86/x
  3. Step 3: Cross multiply
    266.35x = 398.54 × 161.86
  4. Step 4: Simplify right side
    266.35x = 64,508.09
  5. Step 5: Solve for x
    x = 64,508.09/266.35
  6. Step 6: Final answer
    x = 242.19

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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.