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Finding the Fourth Proportional to 290.66, 401.11 and 157.88

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Solution

The fourth proportional to 290.66, 401.11 and 157.88 is: 217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.66 : 401.11 = 157.88 : x
  2. Step 2: Convert to fraction form
    290.66/401.11 = 157.88/x
  3. Step 3: Cross multiply
    290.66x = 401.11 × 157.88
  4. Step 4: Simplify right side
    290.66x = 63,327.96
  5. Step 5: Solve for x
    x = 63,327.96/290.66
  6. Step 6: Final answer
    x = 217.88

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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.