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Finding the Fourth Proportional to 269.86, 404.34 and 259.74

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Solution

The fourth proportional to 269.86, 404.34 and 259.74 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.86 : 404.34 = 259.74 : x
  2. Step 2: Convert to fraction form
    269.86/404.34 = 259.74/x
  3. Step 3: Cross multiply
    269.86x = 404.34 × 259.74
  4. Step 4: Simplify right side
    269.86x = 105,021.76
  5. Step 5: Solve for x
    x = 105,021.76/269.86
  6. Step 6: Final answer
    x = 389.17

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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.