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Finding the Fourth Proportional to 269.88, 372.96 and 214.80

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Solution

The fourth proportional to 269.88, 372.96 and 214.80 is: 296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.88 : 372.96 = 214.80 : x
  2. Step 2: Convert to fraction form
    269.88/372.96 = 214.80/x
  3. Step 3: Cross multiply
    269.88x = 372.96 × 214.80
  4. Step 4: Simplify right side
    269.88x = 80,111.81
  5. Step 5: Solve for x
    x = 80,111.81/269.88
  6. Step 6: Final answer
    x = 296.84

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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.