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Finding the Fourth Proportional to 436.50, 654.16 and 192.76

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Solution

The fourth proportional to 436.50, 654.16 and 192.76 is: 288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.50 : 654.16 = 192.76 : x
  2. Step 2: Convert to fraction form
    436.50/654.16 = 192.76/x
  3. Step 3: Cross multiply
    436.50x = 654.16 × 192.76
  4. Step 4: Simplify right side
    436.50x = 126,095.88
  5. Step 5: Solve for x
    x = 126,095.88/436.50
  6. Step 6: Final answer
    x = 288.88

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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.