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Finding the Fourth Proportional to 401.78, 554.85 and 343.22

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Solution

The fourth proportional to 401.78, 554.85 and 343.22 is: 473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.78 : 554.85 = 343.22 : x
  2. Step 2: Convert to fraction form
    401.78/554.85 = 343.22/x
  3. Step 3: Cross multiply
    401.78x = 554.85 × 343.22
  4. Step 4: Simplify right side
    401.78x = 190,435.62
  5. Step 5: Solve for x
    x = 190,435.62/401.78
  6. Step 6: Final answer
    x = 473.98

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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.