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Finding the Fourth Proportional to 206.66, 308.22 and 176.01

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Solution

The fourth proportional to 206.66, 308.22 and 176.01 is: 262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.66 : 308.22 = 176.01 : x
  2. Step 2: Convert to fraction form
    206.66/308.22 = 176.01/x
  3. Step 3: Cross multiply
    206.66x = 308.22 × 176.01
  4. Step 4: Simplify right side
    206.66x = 54,249.72
  5. Step 5: Solve for x
    x = 54,249.72/206.66
  6. Step 6: Final answer
    x = 262.50

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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.