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Finding the Fourth Proportional to 206.05, 284.12 and 147.01

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Solution

The fourth proportional to 206.05, 284.12 and 147.01 is: 202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.05 : 284.12 = 147.01 : x
  2. Step 2: Convert to fraction form
    206.05/284.12 = 147.01/x
  3. Step 3: Cross multiply
    206.05x = 284.12 × 147.01
  4. Step 4: Simplify right side
    206.05x = 41,766.33
  5. Step 5: Solve for x
    x = 41,766.33/206.05
  6. Step 6: Final answer
    x = 202.70

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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.