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Finding the Fourth Proportional to 401.52, 553.96 and 252.08

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Solution

The fourth proportional to 401.52, 553.96 and 252.08 is: 347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.52 : 553.96 = 252.08 : x
  2. Step 2: Convert to fraction form
    401.52/553.96 = 252.08/x
  3. Step 3: Cross multiply
    401.52x = 553.96 × 252.08
  4. Step 4: Simplify right side
    401.52x = 139,642.24
  5. Step 5: Solve for x
    x = 139,642.24/401.52
  6. Step 6: Final answer
    x = 347.78

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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.