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Finding the Fourth Proportional to 207.78, 310.75 and 169.51

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Solution

The fourth proportional to 207.78, 310.75 and 169.51 is: 253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.78 : 310.75 = 169.51 : x
  2. Step 2: Convert to fraction form
    207.78/310.75 = 169.51/x
  3. Step 3: Cross multiply
    207.78x = 310.75 × 169.51
  4. Step 4: Simplify right side
    207.78x = 52,675.23
  5. Step 5: Solve for x
    x = 52,675.23/207.78
  6. Step 6: Final answer
    x = 253.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.