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Finding the Fourth Proportional to 205.20, 306.09 and 174.51

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Solution

The fourth proportional to 205.20, 306.09 and 174.51 is: 260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 306.09 = 174.51 : x
  2. Step 2: Convert to fraction form
    205.20/306.09 = 174.51/x
  3. Step 3: Cross multiply
    205.20x = 306.09 × 174.51
  4. Step 4: Simplify right side
    205.20x = 53,415.77
  5. Step 5: Solve for x
    x = 53,415.77/205.20
  6. Step 6: Final answer
    x = 260.31

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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.