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Finding the Fourth Proportional to 284.71, 393.29 and 223.32

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Solution

The fourth proportional to 284.71, 393.29 and 223.32 is: 308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.71 : 393.29 = 223.32 : x
  2. Step 2: Convert to fraction form
    284.71/393.29 = 223.32/x
  3. Step 3: Cross multiply
    284.71x = 393.29 × 223.32
  4. Step 4: Simplify right side
    284.71x = 87,829.52
  5. Step 5: Solve for x
    x = 87,829.52/284.71
  6. Step 6: Final answer
    x = 308.49

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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.