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Finding the Fourth Proportional to 218.28, 328.60 and 200.10

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Solution

The fourth proportional to 218.28, 328.60 and 200.10 is: 301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.28 : 328.60 = 200.10 : x
  2. Step 2: Convert to fraction form
    218.28/328.60 = 200.10/x
  3. Step 3: Cross multiply
    218.28x = 328.60 × 200.10
  4. Step 4: Simplify right side
    218.28x = 65,752.86
  5. Step 5: Solve for x
    x = 65,752.86/218.28
  6. Step 6: Final answer
    x = 301.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.