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Finding the Fourth Proportional to 217.29, 298.85 and 189.69

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Solution

The fourth proportional to 217.29, 298.85 and 189.69 is: 260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.29 : 298.85 = 189.69 : x
  2. Step 2: Convert to fraction form
    217.29/298.85 = 189.69/x
  3. Step 3: Cross multiply
    217.29x = 298.85 × 189.69
  4. Step 4: Simplify right side
    217.29x = 56,688.86
  5. Step 5: Solve for x
    x = 56,688.86/217.29
  6. Step 6: Final answer
    x = 260.89

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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.