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Finding the Fourth Proportional to 294.10, 438.89 and 269.27

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Solution

The fourth proportional to 294.10, 438.89 and 269.27 is: 401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.10 : 438.89 = 269.27 : x
  2. Step 2: Convert to fraction form
    294.10/438.89 = 269.27/x
  3. Step 3: Cross multiply
    294.10x = 438.89 × 269.27
  4. Step 4: Simplify right side
    294.10x = 118,179.53
  5. Step 5: Solve for x
    x = 118,179.53/294.10
  6. Step 6: Final answer
    x = 401.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.