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Finding the Fourth Proportional to 205.80, 307.16 and 175.12

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Solution

The fourth proportional to 205.80, 307.16 and 175.12 is: 261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 307.16 = 175.12 : x
  2. Step 2: Convert to fraction form
    205.80/307.16 = 175.12/x
  3. Step 3: Cross multiply
    205.80x = 307.16 × 175.12
  4. Step 4: Simplify right side
    205.80x = 53,789.86
  5. Step 5: Solve for x
    x = 53,789.86/205.80
  6. Step 6: Final answer
    x = 261.37

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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.