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Finding the Fourth Proportional to 206.47, 311.10 and 184.37

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Solution

The fourth proportional to 206.47, 311.10 and 184.37 is: 277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.47 : 311.10 = 184.37 : x
  2. Step 2: Convert to fraction form
    206.47/311.10 = 184.37/x
  3. Step 3: Cross multiply
    206.47x = 311.10 × 184.37
  4. Step 4: Simplify right side
    206.47x = 57,357.51
  5. Step 5: Solve for x
    x = 57,357.51/206.47
  6. Step 6: Final answer
    x = 277.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.