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Finding the Fourth Proportional to 216.07, 323.50 and 142.72

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Solution

The fourth proportional to 216.07, 323.50 and 142.72 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.07 : 323.50 = 142.72 : x
  2. Step 2: Convert to fraction form
    216.07/323.50 = 142.72/x
  3. Step 3: Cross multiply
    216.07x = 323.50 × 142.72
  4. Step 4: Simplify right side
    216.07x = 46,169.92
  5. Step 5: Solve for x
    x = 46,169.92/216.07
  6. Step 6: Final answer
    x = 213.68

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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.