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Finding the Fourth Proportional to 208.52, 312.49 and 78.38

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Solution

The fourth proportional to 208.52, 312.49 and 78.38 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.52 : 312.49 = 78.38 : x
  2. Step 2: Convert to fraction form
    208.52/312.49 = 78.38/x
  3. Step 3: Cross multiply
    208.52x = 312.49 × 78.38
  4. Step 4: Simplify right side
    208.52x = 24,493.55
  5. Step 5: Solve for x
    x = 24,493.55/208.52
  6. Step 6: Final answer
    x = 117.47

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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.