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Finding the Fourth Proportional to 216.49, 299.02 and 170.02

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Solution

The fourth proportional to 216.49, 299.02 and 170.02 is: 234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.49 : 299.02 = 170.02 : x
  2. Step 2: Convert to fraction form
    216.49/299.02 = 170.02/x
  3. Step 3: Cross multiply
    216.49x = 299.02 × 170.02
  4. Step 4: Simplify right side
    216.49x = 50,838.21
  5. Step 5: Solve for x
    x = 50,838.21/216.49
  6. Step 6: Final answer
    x = 234.83

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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.