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Finding the Fourth Proportional to 205.93, 284.61 and 177.31

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Solution

The fourth proportional to 205.93, 284.61 and 177.31 is: 245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.93 : 284.61 = 177.31 : x
  2. Step 2: Convert to fraction form
    205.93/284.61 = 177.31/x
  3. Step 3: Cross multiply
    205.93x = 284.61 × 177.31
  4. Step 4: Simplify right side
    205.93x = 50,464.20
  5. Step 5: Solve for x
    x = 50,464.20/205.93
  6. Step 6: Final answer
    x = 245.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.