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Finding the Fourth Proportional to 216.86, 299.09 and 189.18

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Solution

The fourth proportional to 216.86, 299.09 and 189.18 is: 260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.86 : 299.09 = 189.18 : x
  2. Step 2: Convert to fraction form
    216.86/299.09 = 189.18/x
  3. Step 3: Cross multiply
    216.86x = 299.09 × 189.18
  4. Step 4: Simplify right side
    216.86x = 56,581.85
  5. Step 5: Solve for x
    x = 56,581.85/216.86
  6. Step 6: Final answer
    x = 260.91

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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.