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Finding the Fourth Proportional to 195.34, 291.58 and 169.84

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Solution

The fourth proportional to 195.34, 291.58 and 169.84 is: 253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.34 : 291.58 = 169.84 : x
  2. Step 2: Convert to fraction form
    195.34/291.58 = 169.84/x
  3. Step 3: Cross multiply
    195.34x = 291.58 × 169.84
  4. Step 4: Simplify right side
    195.34x = 49,521.95
  5. Step 5: Solve for x
    x = 49,521.95/195.34
  6. Step 6: Final answer
    x = 253.52

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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.