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Finding the Fourth Proportional to 195.15, 269.52 and 148.02

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Solution

The fourth proportional to 195.15, 269.52 and 148.02 is: 204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.15 : 269.52 = 148.02 : x
  2. Step 2: Convert to fraction form
    195.15/269.52 = 148.02/x
  3. Step 3: Cross multiply
    195.15x = 269.52 × 148.02
  4. Step 4: Simplify right side
    195.15x = 39,894.35
  5. Step 5: Solve for x
    x = 39,894.35/195.15
  6. Step 6: Final answer
    x = 204.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.