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Finding the Fourth Proportional to 269.85, 372.59 and 210.69

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Solution

The fourth proportional to 269.85, 372.59 and 210.69 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.85 : 372.59 = 210.69 : x
  2. Step 2: Convert to fraction form
    269.85/372.59 = 210.69/x
  3. Step 3: Cross multiply
    269.85x = 372.59 × 210.69
  4. Step 4: Simplify right side
    269.85x = 78,500.99
  5. Step 5: Solve for x
    x = 78,500.99/269.85
  6. Step 6: Final answer
    x = 290.91

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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.