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Finding the Fourth Proportional to 206.42, 309.60 and 67.59

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Solution

The fourth proportional to 206.42, 309.60 and 67.59 is: 101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.42 : 309.60 = 67.59 : x
  2. Step 2: Convert to fraction form
    206.42/309.60 = 67.59/x
  3. Step 3: Cross multiply
    206.42x = 309.60 × 67.59
  4. Step 4: Simplify right side
    206.42x = 20,925.86
  5. Step 5: Solve for x
    x = 20,925.86/206.42
  6. Step 6: Final answer
    x = 101.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.