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Finding the Fourth Proportional to 218.23, 300.50 and 206.21

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Solution

The fourth proportional to 218.23, 300.50 and 206.21 is: 283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.23 : 300.50 = 206.21 : x
  2. Step 2: Convert to fraction form
    218.23/300.50 = 206.21/x
  3. Step 3: Cross multiply
    218.23x = 300.50 × 206.21
  4. Step 4: Simplify right side
    218.23x = 61,966.11
  5. Step 5: Solve for x
    x = 61,966.11/218.23
  6. Step 6: Final answer
    x = 283.95

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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.