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Finding the Fourth Proportional to 284.75, 393.15 and 218.24

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Solution

The fourth proportional to 284.75, 393.15 and 218.24 is: 301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.75 : 393.15 = 218.24 : x
  2. Step 2: Convert to fraction form
    284.75/393.15 = 218.24/x
  3. Step 3: Cross multiply
    284.75x = 393.15 × 218.24
  4. Step 4: Simplify right side
    284.75x = 85,799.96
  5. Step 5: Solve for x
    x = 85,799.96/284.75
  6. Step 6: Final answer
    x = 301.32

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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.