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Finding the Fourth Proportional to 269.22, 400.83 and 265.98

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Solution

The fourth proportional to 269.22, 400.83 and 265.98 is: 396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.22 : 400.83 = 265.98 : x
  2. Step 2: Convert to fraction form
    269.22/400.83 = 265.98/x
  3. Step 3: Cross multiply
    269.22x = 400.83 × 265.98
  4. Step 4: Simplify right side
    269.22x = 106,612.76
  5. Step 5: Solve for x
    x = 106,612.76/269.22
  6. Step 6: Final answer
    x = 396.01

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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.