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Finding the Fourth Proportional to 207.36, 287.70 and 205.23

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Solution

The fourth proportional to 207.36, 287.70 and 205.23 is: 284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 287.70 = 205.23 : x
  2. Step 2: Convert to fraction form
    207.36/287.70 = 205.23/x
  3. Step 3: Cross multiply
    207.36x = 287.70 × 205.23
  4. Step 4: Simplify right side
    207.36x = 59,046.13
  5. Step 5: Solve for x
    x = 59,046.13/207.36
  6. Step 6: Final answer
    x = 284.75

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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.