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Finding the Fourth Proportional to 290.68, 436.02 and 195.10

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Solution

The fourth proportional to 290.68, 436.02 and 195.10 is: 292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.68 : 436.02 = 195.10 : x
  2. Step 2: Convert to fraction form
    290.68/436.02 = 195.10/x
  3. Step 3: Cross multiply
    290.68x = 436.02 × 195.10
  4. Step 4: Simplify right side
    290.68x = 85,067.50
  5. Step 5: Solve for x
    x = 85,067.50/290.68
  6. Step 6: Final answer
    x = 292.65

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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.