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Finding the Fourth Proportional to 206.21, 284.73 and 159.51

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Solution

The fourth proportional to 206.21, 284.73 and 159.51 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.21 : 284.73 = 159.51 : x
  2. Step 2: Convert to fraction form
    206.21/284.73 = 159.51/x
  3. Step 3: Cross multiply
    206.21x = 284.73 × 159.51
  4. Step 4: Simplify right side
    206.21x = 45,415.97
  5. Step 5: Solve for x
    x = 45,415.97/206.21
  6. Step 6: Final answer
    x = 220.24

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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.