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Finding the Fourth Proportional to 205.68, 284.00 and 158.98

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Solution

The fourth proportional to 205.68, 284.00 and 158.98 is: 219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.68 : 284.00 = 158.98 : x
  2. Step 2: Convert to fraction form
    205.68/284.00 = 158.98/x
  3. Step 3: Cross multiply
    205.68x = 284.00 × 158.98
  4. Step 4: Simplify right side
    205.68x = 45,150.01
  5. Step 5: Solve for x
    x = 45,150.01/205.68
  6. Step 6: Final answer
    x = 219.52

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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.