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Finding the Fourth Proportional to 194.57, 291.09 and 153.56

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Solution

The fourth proportional to 194.57, 291.09 and 153.56 is: 229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.57 : 291.09 = 153.56 : x
  2. Step 2: Convert to fraction form
    194.57/291.09 = 153.56/x
  3. Step 3: Cross multiply
    194.57x = 291.09 × 153.56
  4. Step 4: Simplify right side
    194.57x = 44,701.08
  5. Step 5: Solve for x
    x = 44,701.08/194.57
  6. Step 6: Final answer
    x = 229.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.