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Finding the Fourth Proportional to 290.22, 435.29 and 73.78

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Solution

The fourth proportional to 290.22, 435.29 and 73.78 is: 110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.22 : 435.29 = 73.78 : x
  2. Step 2: Convert to fraction form
    290.22/435.29 = 73.78/x
  3. Step 3: Cross multiply
    290.22x = 435.29 × 73.78
  4. Step 4: Simplify right side
    290.22x = 32,115.70
  5. Step 5: Solve for x
    x = 32,115.70/290.22
  6. Step 6: Final answer
    x = 110.66

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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.