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Finding the Fourth Proportional to 208.54, 313 and 105.90

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Solution

The fourth proportional to 208.54, 313 and 105.90 is: 158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 313 = 105.90 : x
  2. Step 2: Convert to fraction form
    208.54/313 = 105.90/x
  3. Step 3: Cross multiply
    208.54x = 313 × 105.90
  4. Step 4: Simplify right side
    208.54x = 33,145.14
  5. Step 5: Solve for x
    x = 33,145.14/208.54
  6. Step 6: Final answer
    x = 158.94

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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.