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Finding the Fourth Proportional to 213.46, 318.17 and 201.28

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Solution

The fourth proportional to 213.46, 318.17 and 201.28 is: 300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.46 : 318.17 = 201.28 : x
  2. Step 2: Convert to fraction form
    213.46/318.17 = 201.28/x
  3. Step 3: Cross multiply
    213.46x = 318.17 × 201.28
  4. Step 4: Simplify right side
    213.46x = 64,041.26
  5. Step 5: Solve for x
    x = 64,041.26/213.46
  6. Step 6: Final answer
    x = 300.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.