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Finding the Fourth Proportional to 400.78, 551.96 and 345.49

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Solution

The fourth proportional to 400.78, 551.96 and 345.49 is: 475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.78 : 551.96 = 345.49 : x
  2. Step 2: Convert to fraction form
    400.78/551.96 = 345.49/x
  3. Step 3: Cross multiply
    400.78x = 551.96 × 345.49
  4. Step 4: Simplify right side
    400.78x = 190,698.04
  5. Step 5: Solve for x
    x = 190,698.04/400.78
  6. Step 6: Final answer
    x = 475.82

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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.