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Finding the Fourth Proportional to 206.34, 283.25 and 177.18

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Solution

The fourth proportional to 206.34, 283.25 and 177.18 is: 243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.34 : 283.25 = 177.18 : x
  2. Step 2: Convert to fraction form
    206.34/283.25 = 177.18/x
  3. Step 3: Cross multiply
    206.34x = 283.25 × 177.18
  4. Step 4: Simplify right side
    206.34x = 50,184.82
  5. Step 5: Solve for x
    x = 50,184.82/206.34
  6. Step 6: Final answer
    x = 243.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.