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Finding the Fourth Proportional to 195.08, 290.52 and 194.08

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Solution

The fourth proportional to 195.08, 290.52 and 194.08 is: 289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.08 : 290.52 = 194.08 : x
  2. Step 2: Convert to fraction form
    195.08/290.52 = 194.08/x
  3. Step 3: Cross multiply
    195.08x = 290.52 × 194.08
  4. Step 4: Simplify right side
    195.08x = 56,384.12
  5. Step 5: Solve for x
    x = 56,384.12/195.08
  6. Step 6: Final answer
    x = 289.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.