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Finding the Fourth Proportional to 195.84, 291.84 and 194.16

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Solution

The fourth proportional to 195.84, 291.84 and 194.16 is: 289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.84 : 291.84 = 194.16 : x
  2. Step 2: Convert to fraction form
    195.84/291.84 = 194.16/x
  3. Step 3: Cross multiply
    195.84x = 291.84 × 194.16
  4. Step 4: Simplify right side
    195.84x = 56,663.65
  5. Step 5: Solve for x
    x = 56,663.65/195.84
  6. Step 6: Final answer
    x = 289.34

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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.