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Finding the Fourth Proportional to 269.58, 403.59 and 211.71

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Solution

The fourth proportional to 269.58, 403.59 and 211.71 is: 316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.58 : 403.59 = 211.71 : x
  2. Step 2: Convert to fraction form
    269.58/403.59 = 211.71/x
  3. Step 3: Cross multiply
    269.58x = 403.59 × 211.71
  4. Step 4: Simplify right side
    269.58x = 85,444.04
  5. Step 5: Solve for x
    x = 85,444.04/269.58
  6. Step 6: Final answer
    x = 316.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.