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Finding the Fourth Proportional to 220.59, 329.30 and 213.00

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Solution

The fourth proportional to 220.59, 329.30 and 213.00 is: 317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.59 : 329.30 = 213.00 : x
  2. Step 2: Convert to fraction form
    220.59/329.30 = 213.00/x
  3. Step 3: Cross multiply
    220.59x = 329.30 × 213.00
  4. Step 4: Simplify right side
    220.59x = 70,139.40
  5. Step 5: Solve for x
    x = 70,139.40/220.59
  6. Step 6: Final answer
    x = 317.96

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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.