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Finding the Fourth Proportional to 220.08, 302.19 and 213.33

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Solution

The fourth proportional to 220.08, 302.19 and 213.33 is: 292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.08 : 302.19 = 213.33 : x
  2. Step 2: Convert to fraction form
    220.08/302.19 = 213.33/x
  3. Step 3: Cross multiply
    220.08x = 302.19 × 213.33
  4. Step 4: Simplify right side
    220.08x = 64,466.19
  5. Step 5: Solve for x
    x = 64,466.19/220.08
  6. Step 6: Final answer
    x = 292.92

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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.