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Finding the Fourth Proportional to 290.52, 401.22 and 203.04

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Solution

The fourth proportional to 290.52, 401.22 and 203.04 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.52 : 401.22 = 203.04 : x
  2. Step 2: Convert to fraction form
    290.52/401.22 = 203.04/x
  3. Step 3: Cross multiply
    290.52x = 401.22 × 203.04
  4. Step 4: Simplify right side
    290.52x = 81,463.71
  5. Step 5: Solve for x
    x = 81,463.71/290.52
  6. Step 6: Final answer
    x = 280.41

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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.