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Finding the Fourth Proportional to 284.99, 393.28 and 160.64

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Solution

The fourth proportional to 284.99, 393.28 and 160.64 is: 221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.99 : 393.28 = 160.64 : x
  2. Step 2: Convert to fraction form
    284.99/393.28 = 160.64/x
  3. Step 3: Cross multiply
    284.99x = 393.28 × 160.64
  4. Step 4: Simplify right side
    284.99x = 63,176.50
  5. Step 5: Solve for x
    x = 63,176.50/284.99
  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.