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Finding the Fourth Proportional to 269.11, 403.70 and 139.17

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Solution

The fourth proportional to 269.11, 403.70 and 139.17 is: 208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.11 : 403.70 = 139.17 : x
  2. Step 2: Convert to fraction form
    269.11/403.70 = 139.17/x
  3. Step 3: Cross multiply
    269.11x = 403.70 × 139.17
  4. Step 4: Simplify right side
    269.11x = 56,182.93
  5. Step 5: Solve for x
    x = 56,182.93/269.11
  6. Step 6: Final answer
    x = 208.77

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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.