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Finding the Fourth Proportional to 208.99, 313.62 and 87.34

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Solution

The fourth proportional to 208.99, 313.62 and 87.34 is: 131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.99 : 313.62 = 87.34 : x
  2. Step 2: Convert to fraction form
    208.99/313.62 = 87.34/x
  3. Step 3: Cross multiply
    208.99x = 313.62 × 87.34
  4. Step 4: Simplify right side
    208.99x = 27,391.57
  5. Step 5: Solve for x
    x = 27,391.57/208.99
  6. Step 6: Final answer
    x = 131.07

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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.