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Finding the Fourth Proportional to 194.57, 268.51 and 109.40

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Solution

The fourth proportional to 194.57, 268.51 and 109.40 is: 150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.57 : 268.51 = 109.40 : x
  2. Step 2: Convert to fraction form
    194.57/268.51 = 109.40/x
  3. Step 3: Cross multiply
    194.57x = 268.51 × 109.40
  4. Step 4: Simplify right side
    194.57x = 29,373.10
  5. Step 5: Solve for x
    x = 29,373.10/194.57
  6. Step 6: Final answer
    x = 150.96

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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.