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Finding the Fourth Proportional to 206.12, 284.50 and 128.64

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Solution

The fourth proportional to 206.12, 284.50 and 128.64 is: 177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 284.50 = 128.64 : x
  2. Step 2: Convert to fraction form
    206.12/284.50 = 128.64/x
  3. Step 3: Cross multiply
    206.12x = 284.50 × 128.64
  4. Step 4: Simplify right side
    206.12x = 36,598.08
  5. Step 5: Solve for x
    x = 36,598.08/206.12
  6. Step 6: Final answer
    x = 177.56

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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.