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Finding the Fourth Proportional to 206.44, 284.78 and 157.30

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Solution

The fourth proportional to 206.44, 284.78 and 157.30 is: 216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.44 : 284.78 = 157.30 : x
  2. Step 2: Convert to fraction form
    206.44/284.78 = 157.30/x
  3. Step 3: Cross multiply
    206.44x = 284.78 × 157.30
  4. Step 4: Simplify right side
    206.44x = 44,795.58
  5. Step 5: Solve for x
    x = 44,795.58/206.44
  6. Step 6: Final answer
    x = 216.99

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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.