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Finding the Fourth Proportional to 436.25, 654.59 and 192.49

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Solution

The fourth proportional to 436.25, 654.59 and 192.49 is: 288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.25 : 654.59 = 192.49 : x
  2. Step 2: Convert to fraction form
    436.25/654.59 = 192.49/x
  3. Step 3: Cross multiply
    436.25x = 654.59 × 192.49
  4. Step 4: Simplify right side
    436.25x = 126,000.87
  5. Step 5: Solve for x
    x = 126,000.87/436.25
  6. Step 6: Final answer
    x = 288.83

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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.