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Finding the Fourth Proportional to 219.93, 302.56 and 213.85

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Solution

The fourth proportional to 219.93, 302.56 and 213.85 is: 294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.93 : 302.56 = 213.85 : x
  2. Step 2: Convert to fraction form
    219.93/302.56 = 213.85/x
  3. Step 3: Cross multiply
    219.93x = 302.56 × 213.85
  4. Step 4: Simplify right side
    219.93x = 64,702.46
  5. Step 5: Solve for x
    x = 64,702.46/219.93
  6. Step 6: Final answer
    x = 294.20

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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.