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Finding the Fourth Proportional to 290.87, 401.40 and 159.88

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Solution

The fourth proportional to 290.87, 401.40 and 159.88 is: 220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.87 : 401.40 = 159.88 : x
  2. Step 2: Convert to fraction form
    290.87/401.40 = 159.88/x
  3. Step 3: Cross multiply
    290.87x = 401.40 × 159.88
  4. Step 4: Simplify right side
    290.87x = 64,176.33
  5. Step 5: Solve for x
    x = 64,176.33/290.87
  6. Step 6: Final answer
    x = 220.64

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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.