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Finding the Fourth Proportional to 436.45, 654.66 and 111.81

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Solution

The fourth proportional to 436.45, 654.66 and 111.81 is: 167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.45 : 654.66 = 111.81 : x
  2. Step 2: Convert to fraction form
    436.45/654.66 = 111.81/x
  3. Step 3: Cross multiply
    436.45x = 654.66 × 111.81
  4. Step 4: Simplify right side
    436.45x = 73,197.53
  5. Step 5: Solve for x
    x = 73,197.53/436.45
  6. Step 6: Final answer
    x = 167.71

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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.