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Finding the Fourth Proportional to 206.28, 307.64 and 188.72

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Solution

The fourth proportional to 206.28, 307.64 and 188.72 is: 281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.28 : 307.64 = 188.72 : x
  2. Step 2: Convert to fraction form
    206.28/307.64 = 188.72/x
  3. Step 3: Cross multiply
    206.28x = 307.64 × 188.72
  4. Step 4: Simplify right side
    206.28x = 58,057.82
  5. Step 5: Solve for x
    x = 58,057.82/206.28
  6. Step 6: Final answer
    x = 281.45

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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.