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Finding the Fourth Proportional to 284.93, 393.42 and 222.65

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Solution

The fourth proportional to 284.93, 393.42 and 222.65 is: 307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.93 : 393.42 = 222.65 : x
  2. Step 2: Convert to fraction form
    284.93/393.42 = 222.65/x
  3. Step 3: Cross multiply
    284.93x = 393.42 × 222.65
  4. Step 4: Simplify right side
    284.93x = 87,595.31
  5. Step 5: Solve for x
    x = 87,595.31/284.93
  6. Step 6: Final answer
    x = 307.43

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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.