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Finding the Fourth Proportional to 269.05, 403.98 and 214.78

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Solution

The fourth proportional to 269.05, 403.98 and 214.78 is: 322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.05 : 403.98 = 214.78 : x
  2. Step 2: Convert to fraction form
    269.05/403.98 = 214.78/x
  3. Step 3: Cross multiply
    269.05x = 403.98 × 214.78
  4. Step 4: Simplify right side
    269.05x = 86,766.82
  5. Step 5: Solve for x
    x = 86,766.82/269.05
  6. Step 6: Final answer
    x = 322.49

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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.