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Finding the Fourth Proportional to 216.27, 297.68 and 183.47

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Solution

The fourth proportional to 216.27, 297.68 and 183.47 is: 252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.27 : 297.68 = 183.47 : x
  2. Step 2: Convert to fraction form
    216.27/297.68 = 183.47/x
  3. Step 3: Cross multiply
    216.27x = 297.68 × 183.47
  4. Step 4: Simplify right side
    216.27x = 54,612.94
  5. Step 5: Solve for x
    x = 54,612.94/216.27
  6. Step 6: Final answer
    x = 252.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.