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Finding the Fourth Proportional to 194.72, 288.10 and 194.18

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Solution

The fourth proportional to 194.72, 288.10 and 194.18 is: 287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.72 : 288.10 = 194.18 : x
  2. Step 2: Convert to fraction form
    194.72/288.10 = 194.18/x
  3. Step 3: Cross multiply
    194.72x = 288.10 × 194.18
  4. Step 4: Simplify right side
    194.72x = 55,943.26
  5. Step 5: Solve for x
    x = 55,943.26/194.72
  6. Step 6: Final answer
    x = 287.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.