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Finding the Fourth Proportional to 194.61, 293.15 and 178.01

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Solution

The fourth proportional to 194.61, 293.15 and 178.01 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.61 : 293.15 = 178.01 : x
  2. Step 2: Convert to fraction form
    194.61/293.15 = 178.01/x
  3. Step 3: Cross multiply
    194.61x = 293.15 × 178.01
  4. Step 4: Simplify right side
    194.61x = 52,183.63
  5. Step 5: Solve for x
    x = 52,183.63/194.61
  6. Step 6: Final answer
    x = 268.14

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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.