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Finding the Fourth Proportional to 436.81, 655.42 and 193.36

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Solution

The fourth proportional to 436.81, 655.42 and 193.36 is: 290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.81 : 655.42 = 193.36 : x
  2. Step 2: Convert to fraction form
    436.81/655.42 = 193.36/x
  3. Step 3: Cross multiply
    436.81x = 655.42 × 193.36
  4. Step 4: Simplify right side
    436.81x = 126,728.73
  5. Step 5: Solve for x
    x = 126,728.73/436.81
  6. Step 6: Final answer
    x = 290.13

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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.