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Finding the Fourth Proportional to 195.72, 292.08 and 188.46

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Solution

The fourth proportional to 195.72, 292.08 and 188.46 is: 281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.72 : 292.08 = 188.46 : x
  2. Step 2: Convert to fraction form
    195.72/292.08 = 188.46/x
  3. Step 3: Cross multiply
    195.72x = 292.08 × 188.46
  4. Step 4: Simplify right side
    195.72x = 55,045.40
  5. Step 5: Solve for x
    x = 55,045.40/195.72
  6. Step 6: Final answer
    x = 281.25

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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.