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Finding the Fourth Proportional to 208.13, 310.35 and 179.42

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Solution

The fourth proportional to 208.13, 310.35 and 179.42 is: 267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 310.35 = 179.42 : x
  2. Step 2: Convert to fraction form
    208.13/310.35 = 179.42/x
  3. Step 3: Cross multiply
    208.13x = 310.35 × 179.42
  4. Step 4: Simplify right side
    208.13x = 55,681.45
  5. Step 5: Solve for x
    x = 55,681.45/208.13
  6. Step 6: Final answer
    x = 267.54

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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.