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Finding the Fourth Proportional to 284.97, 393.35 and 166.97

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Solution

The fourth proportional to 284.97, 393.35 and 166.97 is: 230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.97 : 393.35 = 166.97 : x
  2. Step 2: Convert to fraction form
    284.97/393.35 = 166.97/x
  3. Step 3: Cross multiply
    284.97x = 393.35 × 166.97
  4. Step 4: Simplify right side
    284.97x = 65,677.65
  5. Step 5: Solve for x
    x = 65,677.65/284.97
  6. Step 6: Final answer
    x = 230.47

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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.