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Finding the Fourth Proportional to 195.23, 268.71 and 148.52

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Solution

The fourth proportional to 195.23, 268.71 and 148.52 is: 204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.23 : 268.71 = 148.52 : x
  2. Step 2: Convert to fraction form
    195.23/268.71 = 148.52/x
  3. Step 3: Cross multiply
    195.23x = 268.71 × 148.52
  4. Step 4: Simplify right side
    195.23x = 39,907.47
  5. Step 5: Solve for x
    x = 39,907.47/195.23
  6. Step 6: Final answer
    x = 204.42

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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.