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Finding the Fourth Proportional to 208.13, 310.83 and 179.30

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Solution

The fourth proportional to 208.13, 310.83 and 179.30 is: 267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 310.83 = 179.30 : x
  2. Step 2: Convert to fraction form
    208.13/310.83 = 179.30/x
  3. Step 3: Cross multiply
    208.13x = 310.83 × 179.30
  4. Step 4: Simplify right side
    208.13x = 55,730.26
  5. Step 5: Solve for x
    x = 55,730.26/208.13
  6. Step 6: Final answer
    x = 267.77

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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.