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Finding the Fourth Proportional to 290.43, 433.17 and 261.95

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Solution

The fourth proportional to 290.43, 433.17 and 261.95 is: 390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.43 : 433.17 = 261.95 : x
  2. Step 2: Convert to fraction form
    290.43/433.17 = 261.95/x
  3. Step 3: Cross multiply
    290.43x = 433.17 × 261.95
  4. Step 4: Simplify right side
    290.43x = 113,466.72
  5. Step 5: Solve for x
    x = 113,466.72/290.43
  6. Step 6: Final answer
    x = 390.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.