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Finding the Fourth Proportional to 195.42, 291.40 and 185.84

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Solution

The fourth proportional to 195.42, 291.40 and 185.84 is: 277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.42 : 291.40 = 185.84 : x
  2. Step 2: Convert to fraction form
    195.42/291.40 = 185.84/x
  3. Step 3: Cross multiply
    195.42x = 291.40 × 185.84
  4. Step 4: Simplify right side
    195.42x = 54,153.78
  5. Step 5: Solve for x
    x = 54,153.78/195.42
  6. Step 6: Final answer
    x = 277.11

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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.