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Finding the Fourth Proportional to 207.64, 287.04 and 199.09

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Solution

The fourth proportional to 207.64, 287.04 and 199.09 is: 275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.64 : 287.04 = 199.09 : x
  2. Step 2: Convert to fraction form
    207.64/287.04 = 199.09/x
  3. Step 3: Cross multiply
    207.64x = 287.04 × 199.09
  4. Step 4: Simplify right side
    207.64x = 57,146.79
  5. Step 5: Solve for x
    x = 57,146.79/207.64
  6. Step 6: Final answer
    x = 275.22

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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.