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Finding the Fourth Proportional to 194.68, 293.55 and 178.54

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Solution

The fourth proportional to 194.68, 293.55 and 178.54 is: 269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.68 : 293.55 = 178.54 : x
  2. Step 2: Convert to fraction form
    194.68/293.55 = 178.54/x
  3. Step 3: Cross multiply
    194.68x = 293.55 × 178.54
  4. Step 4: Simplify right side
    194.68x = 52,410.42
  5. Step 5: Solve for x
    x = 52,410.42/194.68
  6. Step 6: Final answer
    x = 269.21

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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.