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Finding the Fourth Proportional to 284.97, 393.28 and 160.65

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Solution

The fourth proportional to 284.97, 393.28 and 160.65 is: 221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.97 : 393.28 = 160.65 : x
  2. Step 2: Convert to fraction form
    284.97/393.28 = 160.65/x
  3. Step 3: Cross multiply
    284.97x = 393.28 × 160.65
  4. Step 4: Simplify right side
    284.97x = 63,178.01
  5. Step 5: Solve for x
    x = 63,178.01/284.97
  6. Step 6: Final answer
    x = 221.70

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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.