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Finding the Fourth Proportional to 194.65, 268.45 and 145.65

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Solution

The fourth proportional to 194.65, 268.45 and 145.65 is: 200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.65 : 268.45 = 145.65 : x
  2. Step 2: Convert to fraction form
    194.65/268.45 = 145.65/x
  3. Step 3: Cross multiply
    194.65x = 268.45 × 145.65
  4. Step 4: Simplify right side
    194.65x = 39,099.74
  5. Step 5: Solve for x
    x = 39,099.74/194.65
  6. Step 6: Final answer
    x = 200.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.