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Finding the Fourth Proportional to 269.65, 372.59 and 213.79

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Solution

The fourth proportional to 269.65, 372.59 and 213.79 is: 295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.65 : 372.59 = 213.79 : x
  2. Step 2: Convert to fraction form
    269.65/372.59 = 213.79/x
  3. Step 3: Cross multiply
    269.65x = 372.59 × 213.79
  4. Step 4: Simplify right side
    269.65x = 79,656.02
  5. Step 5: Solve for x
    x = 79,656.02/269.65
  6. Step 6: Final answer
    x = 295.41

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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.