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Finding the Fourth Proportional to 208.78, 312.89 and 117.34

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Solution

The fourth proportional to 208.78, 312.89 and 117.34 is: 175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.78 : 312.89 = 117.34 : x
  2. Step 2: Convert to fraction form
    208.78/312.89 = 117.34/x
  3. Step 3: Cross multiply
    208.78x = 312.89 × 117.34
  4. Step 4: Simplify right side
    208.78x = 36,713.14
  5. Step 5: Solve for x
    x = 36,713.14/208.78
  6. Step 6: Final answer
    x = 175.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.