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Finding the Fourth Proportional to 206.91, 308.52 and 184.77

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Solution

The fourth proportional to 206.91, 308.52 and 184.77 is: 275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.91 : 308.52 = 184.77 : x
  2. Step 2: Convert to fraction form
    206.91/308.52 = 184.77/x
  3. Step 3: Cross multiply
    206.91x = 308.52 × 184.77
  4. Step 4: Simplify right side
    206.91x = 57,005.24
  5. Step 5: Solve for x
    x = 57,005.24/206.91
  6. Step 6: Final answer
    x = 275.51

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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.