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Finding the Fourth Proportional to 220.19, 328.19 and 213.57

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Solution

The fourth proportional to 220.19, 328.19 and 213.57 is: 318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.19 : 328.19 = 213.57 : x
  2. Step 2: Convert to fraction form
    220.19/328.19 = 213.57/x
  3. Step 3: Cross multiply
    220.19x = 328.19 × 213.57
  4. Step 4: Simplify right side
    220.19x = 70,090.47
  5. Step 5: Solve for x
    x = 70,090.47/220.19
  6. Step 6: Final answer
    x = 318.33

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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.