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Finding the Fourth Proportional to 207.42, 287.76 and 205.62

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Solution

The fourth proportional to 207.42, 287.76 and 205.62 is: 285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 287.76 = 205.62 : x
  2. Step 2: Convert to fraction form
    207.42/287.76 = 205.62/x
  3. Step 3: Cross multiply
    207.42x = 287.76 × 205.62
  4. Step 4: Simplify right side
    207.42x = 59,169.21
  5. Step 5: Solve for x
    x = 59,169.21/207.42
  6. Step 6: Final answer
    x = 285.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.