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Finding the Fourth Proportional to 269.94, 370.85 and 259.77

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Solution

The fourth proportional to 269.94, 370.85 and 259.77 is: 356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.94 : 370.85 = 259.77 : x
  2. Step 2: Convert to fraction form
    269.94/370.85 = 259.77/x
  3. Step 3: Cross multiply
    269.94x = 370.85 × 259.77
  4. Step 4: Simplify right side
    269.94x = 96,334.41
  5. Step 5: Solve for x
    x = 96,334.41/269.94
  6. Step 6: Final answer
    x = 356.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.