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Finding the Fourth Proportional to 400.36, 551.91 and 275.83

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Solution

The fourth proportional to 400.36, 551.91 and 275.83 is: 380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.36 : 551.91 = 275.83 : x
  2. Step 2: Convert to fraction form
    400.36/551.91 = 275.83/x
  3. Step 3: Cross multiply
    400.36x = 551.91 × 275.83
  4. Step 4: Simplify right side
    400.36x = 152,233.34
  5. Step 5: Solve for x
    x = 152,233.34/400.36
  6. Step 6: Final answer
    x = 380.24

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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.