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Finding the Fourth Proportional to 208.08, 310.98 and 164.88

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Solution

The fourth proportional to 208.08, 310.98 and 164.88 is: 246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 310.98 = 164.88 : x
  2. Step 2: Convert to fraction form
    208.08/310.98 = 164.88/x
  3. Step 3: Cross multiply
    208.08x = 310.98 × 164.88
  4. Step 4: Simplify right side
    208.08x = 51,274.38
  5. Step 5: Solve for x
    x = 51,274.38/208.08
  6. Step 6: Final answer
    x = 246.42

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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.