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Finding the Fourth Proportional to 401.44, 552 and 343.12

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Solution

The fourth proportional to 401.44, 552 and 343.12 is: 471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.44 : 552 = 343.12 : x
  2. Step 2: Convert to fraction form
    401.44/552 = 343.12/x
  3. Step 3: Cross multiply
    401.44x = 552 × 343.12
  4. Step 4: Simplify right side
    401.44x = 189,402.24
  5. Step 5: Solve for x
    x = 189,402.24/401.44
  6. Step 6: Final answer
    x = 471.81

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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.