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Finding the Fourth Proportional to 194.55, 293.16 and 161.07

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Solution

The fourth proportional to 194.55, 293.16 and 161.07 is: 242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.55 : 293.16 = 161.07 : x
  2. Step 2: Convert to fraction form
    194.55/293.16 = 161.07/x
  3. Step 3: Cross multiply
    194.55x = 293.16 × 161.07
  4. Step 4: Simplify right side
    194.55x = 47,217.82
  5. Step 5: Solve for x
    x = 47,217.82/194.55
  6. Step 6: Final answer
    x = 242.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.