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Finding the Fourth Proportional to 284.72, 393.04 and 219.44

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Solution

The fourth proportional to 284.72, 393.04 and 219.44 is: 302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.72 : 393.04 = 219.44 : x
  2. Step 2: Convert to fraction form
    284.72/393.04 = 219.44/x
  3. Step 3: Cross multiply
    284.72x = 393.04 × 219.44
  4. Step 4: Simplify right side
    284.72x = 86,248.70
  5. Step 5: Solve for x
    x = 86,248.70/284.72
  6. Step 6: Final answer
    x = 302.92

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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.