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Finding the Fourth Proportional to 269.06, 370.80 and 219.78

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Solution

The fourth proportional to 269.06, 370.80 and 219.78 is: 302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.06 : 370.80 = 219.78 : x
  2. Step 2: Convert to fraction form
    269.06/370.80 = 219.78/x
  3. Step 3: Cross multiply
    269.06x = 370.80 × 219.78
  4. Step 4: Simplify right side
    269.06x = 81,494.42
  5. Step 5: Solve for x
    x = 81,494.42/269.06
  6. Step 6: Final answer
    x = 302.89

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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.