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Finding the Fourth Proportional to 207.72, 287.04 and 164.40

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Solution

The fourth proportional to 207.72, 287.04 and 164.40 is: 227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.72 : 287.04 = 164.40 : x
  2. Step 2: Convert to fraction form
    207.72/287.04 = 164.40/x
  3. Step 3: Cross multiply
    207.72x = 287.04 × 164.40
  4. Step 4: Simplify right side
    207.72x = 47,189.38
  5. Step 5: Solve for x
    x = 47,189.38/207.72
  6. Step 6: Final answer
    x = 227.18

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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.