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Finding the Fourth Proportional to 284.00, 391.88 and 159.64

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Solution

The fourth proportional to 284.00, 391.88 and 159.64 is: 220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.00 : 391.88 = 159.64 : x
  2. Step 2: Convert to fraction form
    284.00/391.88 = 159.64/x
  3. Step 3: Cross multiply
    284.00x = 391.88 × 159.64
  4. Step 4: Simplify right side
    284.00x = 62,559.14
  5. Step 5: Solve for x
    x = 62,559.14/284.00
  6. Step 6: Final answer
    x = 220.28

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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.