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Finding the Fourth Proportional to 290.20, 434.22 and 286.96

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Solution

The fourth proportional to 290.20, 434.22 and 286.96 is: 429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.20 : 434.22 = 286.96 : x
  2. Step 2: Convert to fraction form
    290.20/434.22 = 286.96/x
  3. Step 3: Cross multiply
    290.20x = 434.22 × 286.96
  4. Step 4: Simplify right side
    290.20x = 124,603.77
  5. Step 5: Solve for x
    x = 124,603.77/290.20
  6. Step 6: Final answer
    x = 429.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.