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Finding the Fourth Proportional to 207.65, 284.77 and 205.25

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Solution

The fourth proportional to 207.65, 284.77 and 205.25 is: 281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.65 : 284.77 = 205.25 : x
  2. Step 2: Convert to fraction form
    207.65/284.77 = 205.25/x
  3. Step 3: Cross multiply
    207.65x = 284.77 × 205.25
  4. Step 4: Simplify right side
    207.65x = 58,449.04
  5. Step 5: Solve for x
    x = 58,449.04/207.65
  6. Step 6: Final answer
    x = 281.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.