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Finding the Fourth Proportional to 400.37, 551.64 and 295.28

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Solution

The fourth proportional to 400.37, 551.64 and 295.28 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.37 : 551.64 = 295.28 : x
  2. Step 2: Convert to fraction form
    400.37/551.64 = 295.28/x
  3. Step 3: Cross multiply
    400.37x = 551.64 × 295.28
  4. Step 4: Simplify right side
    400.37x = 162,888.26
  5. Step 5: Solve for x
    x = 162,888.26/400.37
  6. Step 6: Final answer
    x = 406.84

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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.