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Finding the Fourth Proportional to 217.06, 299.24 and 154.87

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Solution

The fourth proportional to 217.06, 299.24 and 154.87 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.06 : 299.24 = 154.87 : x
  2. Step 2: Convert to fraction form
    217.06/299.24 = 154.87/x
  3. Step 3: Cross multiply
    217.06x = 299.24 × 154.87
  4. Step 4: Simplify right side
    217.06x = 46,342.76
  5. Step 5: Solve for x
    x = 46,342.76/217.06
  6. Step 6: Final answer
    x = 213.50

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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.