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Finding the Fourth Proportional to 207.80, 310.09 and 171.80

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Solution

The fourth proportional to 207.80, 310.09 and 171.80 is: 256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.80 : 310.09 = 171.80 : x
  2. Step 2: Convert to fraction form
    207.80/310.09 = 171.80/x
  3. Step 3: Cross multiply
    207.80x = 310.09 × 171.80
  4. Step 4: Simplify right side
    207.80x = 53,273.46
  5. Step 5: Solve for x
    x = 53,273.46/207.80
  6. Step 6: Final answer
    x = 256.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.