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Finding the Fourth Proportional to 217.24, 299.74 and 128.74

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Solution

The fourth proportional to 217.24, 299.74 and 128.74 is: 177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.24 : 299.74 = 128.74 : x
  2. Step 2: Convert to fraction form
    217.24/299.74 = 128.74/x
  3. Step 3: Cross multiply
    217.24x = 299.74 × 128.74
  4. Step 4: Simplify right side
    217.24x = 38,588.53
  5. Step 5: Solve for x
    x = 38,588.53/217.24
  6. Step 6: Final answer
    x = 177.63

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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.