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Finding the Fourth Proportional to 205.80, 310.07 and 178.47

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Solution

The fourth proportional to 205.80, 310.07 and 178.47 is: 268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 310.07 = 178.47 : x
  2. Step 2: Convert to fraction form
    205.80/310.07 = 178.47/x
  3. Step 3: Cross multiply
    205.80x = 310.07 × 178.47
  4. Step 4: Simplify right side
    205.80x = 55,337.30
  5. Step 5: Solve for x
    x = 55,337.30/205.80
  6. Step 6: Final answer
    x = 268.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.