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Finding the Fourth Proportional to 290.46, 400.85 and 159.48

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Solution

The fourth proportional to 290.46, 400.85 and 159.48 is: 220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 400.85 = 159.48 : x
  2. Step 2: Convert to fraction form
    290.46/400.85 = 159.48/x
  3. Step 3: Cross multiply
    290.46x = 400.85 × 159.48
  4. Step 4: Simplify right side
    290.46x = 63,927.56
  5. Step 5: Solve for x
    x = 63,927.56/290.46
  6. Step 6: Final answer
    x = 220.09

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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.