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Finding the Fourth Proportional to 206.20, 307.58 and 190.54

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Solution

The fourth proportional to 206.20, 307.58 and 190.54 is: 284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.20 : 307.58 = 190.54 : x
  2. Step 2: Convert to fraction form
    206.20/307.58 = 190.54/x
  3. Step 3: Cross multiply
    206.20x = 307.58 × 190.54
  4. Step 4: Simplify right side
    206.20x = 58,606.29
  5. Step 5: Solve for x
    x = 58,606.29/206.20
  6. Step 6: Final answer
    x = 284.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.