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Finding the Fourth Proportional to 208.67, 313.08 and 127.57

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Solution

The fourth proportional to 208.67, 313.08 and 127.57 is: 191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.67 : 313.08 = 127.57 : x
  2. Step 2: Convert to fraction form
    208.67/313.08 = 127.57/x
  3. Step 3: Cross multiply
    208.67x = 313.08 × 127.57
  4. Step 4: Simplify right side
    208.67x = 39,939.62
  5. Step 5: Solve for x
    x = 39,939.62/208.67
  6. Step 6: Final answer
    x = 191.40

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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.