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Finding the Fourth Proportional to 210.97, 314.30 and 201.18

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Solution

The fourth proportional to 210.97, 314.30 and 201.18 is: 299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.97 : 314.30 = 201.18 : x
  2. Step 2: Convert to fraction form
    210.97/314.30 = 201.18/x
  3. Step 3: Cross multiply
    210.97x = 314.30 × 201.18
  4. Step 4: Simplify right side
    210.97x = 63,229.87
  5. Step 5: Solve for x
    x = 63,229.87/210.97
  6. Step 6: Final answer
    x = 299.71

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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.