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Finding the Fourth Proportional to 206.60, 284.86 and 151.32

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Solution

The fourth proportional to 206.60, 284.86 and 151.32 is: 208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.60 : 284.86 = 151.32 : x
  2. Step 2: Convert to fraction form
    206.60/284.86 = 151.32/x
  3. Step 3: Cross multiply
    206.60x = 284.86 × 151.32
  4. Step 4: Simplify right side
    206.60x = 43,103.21
  5. Step 5: Solve for x
    x = 43,103.21/206.60
  6. Step 6: Final answer
    x = 208.63

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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.