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Finding the Fourth Proportional to 284.95, 393.27 and 160.62

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Solution

The fourth proportional to 284.95, 393.27 and 160.62 is: 221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.95 : 393.27 = 160.62 : x
  2. Step 2: Convert to fraction form
    284.95/393.27 = 160.62/x
  3. Step 3: Cross multiply
    284.95x = 393.27 × 160.62
  4. Step 4: Simplify right side
    284.95x = 63,167.03
  5. Step 5: Solve for x
    x = 63,167.03/284.95
  6. Step 6: Final answer
    x = 221.68

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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.