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Finding the Fourth Proportional to 436.19, 654.31 and 192.67

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Solution

The fourth proportional to 436.19, 654.31 and 192.67 is: 289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.19 : 654.31 = 192.67 : x
  2. Step 2: Convert to fraction form
    436.19/654.31 = 192.67/x
  3. Step 3: Cross multiply
    436.19x = 654.31 × 192.67
  4. Step 4: Simplify right side
    436.19x = 126,064.51
  5. Step 5: Solve for x
    x = 126,064.51/436.19
  6. Step 6: Final answer
    x = 289.02

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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.