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Finding the Fourth Proportional to 195.30, 268.29 and 183.15

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Solution

The fourth proportional to 195.30, 268.29 and 183.15 is: 251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 268.29 = 183.15 : x
  2. Step 2: Convert to fraction form
    195.30/268.29 = 183.15/x
  3. Step 3: Cross multiply
    195.30x = 268.29 × 183.15
  4. Step 4: Simplify right side
    195.30x = 49,137.31
  5. Step 5: Solve for x
    x = 49,137.31/195.30
  6. Step 6: Final answer
    x = 251.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.