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Finding the Fourth Proportional to 194.49, 268.70 and 148.05

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Solution

The fourth proportional to 194.49, 268.70 and 148.05 is: 204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.49 : 268.70 = 148.05 : x
  2. Step 2: Convert to fraction form
    194.49/268.70 = 148.05/x
  3. Step 3: Cross multiply
    194.49x = 268.70 × 148.05
  4. Step 4: Simplify right side
    194.49x = 39,780.29
  5. Step 5: Solve for x
    x = 39,780.29/194.49
  6. Step 6: Final answer
    x = 204.54

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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.