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Finding the Fourth Proportional to 284.88, 393.12 and 160.53

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Solution

The fourth proportional to 284.88, 393.12 and 160.53 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.88 : 393.12 = 160.53 : x
  2. Step 2: Convert to fraction form
    284.88/393.12 = 160.53/x
  3. Step 3: Cross multiply
    284.88x = 393.12 × 160.53
  4. Step 4: Simplify right side
    284.88x = 63,107.55
  5. Step 5: Solve for x
    x = 63,107.55/284.88
  6. Step 6: Final answer
    x = 221.52

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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.