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Finding the Fourth Proportional to 486.83, 729.75 and 194.22

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Solution

The fourth proportional to 486.83, 729.75 and 194.22 is: 291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.83 : 729.75 = 194.22 : x
  2. Step 2: Convert to fraction form
    486.83/729.75 = 194.22/x
  3. Step 3: Cross multiply
    486.83x = 729.75 × 194.22
  4. Step 4: Simplify right side
    486.83x = 141,732.05
  5. Step 5: Solve for x
    x = 141,732.05/486.83
  6. Step 6: Final answer
    x = 291.14

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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.