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Finding the Fourth Proportional to 218.32, 299.49 and 200.10

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Solution

The fourth proportional to 218.32, 299.49 and 200.10 is: 274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.32 : 299.49 = 200.10 : x
  2. Step 2: Convert to fraction form
    218.32/299.49 = 200.10/x
  3. Step 3: Cross multiply
    218.32x = 299.49 × 200.10
  4. Step 4: Simplify right side
    218.32x = 59,927.95
  5. Step 5: Solve for x
    x = 59,927.95/218.32
  6. Step 6: Final answer
    x = 274.50

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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.