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Finding the Fourth Proportional to 195.69, 292.25 and 157.23

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Solution

The fourth proportional to 195.69, 292.25 and 157.23 is: 234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.69 : 292.25 = 157.23 : x
  2. Step 2: Convert to fraction form
    195.69/292.25 = 157.23/x
  3. Step 3: Cross multiply
    195.69x = 292.25 × 157.23
  4. Step 4: Simplify right side
    195.69x = 45,950.47
  5. Step 5: Solve for x
    x = 45,950.47/195.69
  6. Step 6: Final answer
    x = 234.81

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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.