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Finding the Fourth Proportional to 217.94, 299.42 and 176.36

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Solution

The fourth proportional to 217.94, 299.42 and 176.36 is: 242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.94 : 299.42 = 176.36 : x
  2. Step 2: Convert to fraction form
    217.94/299.42 = 176.36/x
  3. Step 3: Cross multiply
    217.94x = 299.42 × 176.36
  4. Step 4: Simplify right side
    217.94x = 52,807.44
  5. Step 5: Solve for x
    x = 52,807.44/217.94
  6. Step 6: Final answer
    x = 242.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.