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Finding the Fourth Proportional to 290.42, 435.69 and 166.90

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Solution

The fourth proportional to 290.42, 435.69 and 166.90 is: 250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.42 : 435.69 = 166.90 : x
  2. Step 2: Convert to fraction form
    290.42/435.69 = 166.90/x
  3. Step 3: Cross multiply
    290.42x = 435.69 × 166.90
  4. Step 4: Simplify right side
    290.42x = 72,716.66
  5. Step 5: Solve for x
    x = 72,716.66/290.42
  6. Step 6: Final answer
    x = 250.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.