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Finding the Fourth Proportional to 290.50, 400.86 and 166.18

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Solution

The fourth proportional to 290.50, 400.86 and 166.18 is: 229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.50 : 400.86 = 166.18 : x
  2. Step 2: Convert to fraction form
    290.50/400.86 = 166.18/x
  3. Step 3: Cross multiply
    290.50x = 400.86 × 166.18
  4. Step 4: Simplify right side
    290.50x = 66,614.91
  5. Step 5: Solve for x
    x = 66,614.91/290.50
  6. Step 6: Final answer
    x = 229.31

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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.