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Finding the Fourth Proportional to 241.35, 332.67 and 209.76

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Solution

The fourth proportional to 241.35, 332.67 and 209.76 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.35 : 332.67 = 209.76 : x
  2. Step 2: Convert to fraction form
    241.35/332.67 = 209.76/x
  3. Step 3: Cross multiply
    241.35x = 332.67 × 209.76
  4. Step 4: Simplify right side
    241.35x = 69,780.86
  5. Step 5: Solve for x
    x = 69,780.86/241.35
  6. Step 6: Final answer
    x = 289.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.