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Finding the Fourth Proportional to 400.09, 551.91 and 260.14

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Solution

The fourth proportional to 400.09, 551.91 and 260.14 is: 358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.09 : 551.91 = 260.14 : x
  2. Step 2: Convert to fraction form
    400.09/551.91 = 260.14/x
  3. Step 3: Cross multiply
    400.09x = 551.91 × 260.14
  4. Step 4: Simplify right side
    400.09x = 143,573.87
  5. Step 5: Solve for x
    x = 143,573.87/400.09
  6. Step 6: Final answer
    x = 358.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.