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Finding the Fourth Proportional to 217.83, 300.37 and 186.85

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Solution

The fourth proportional to 217.83, 300.37 and 186.85 is: 257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.83 : 300.37 = 186.85 : x
  2. Step 2: Convert to fraction form
    217.83/300.37 = 186.85/x
  3. Step 3: Cross multiply
    217.83x = 300.37 × 186.85
  4. Step 4: Simplify right side
    217.83x = 56,124.13
  5. Step 5: Solve for x
    x = 56,124.13/217.83
  6. Step 6: Final answer
    x = 257.65

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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.