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Finding the Fourth Proportional to 208.98, 313.61 and 87.35

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Solution

The fourth proportional to 208.98, 313.61 and 87.35 is: 131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.98 : 313.61 = 87.35 : x
  2. Step 2: Convert to fraction form
    208.98/313.61 = 87.35/x
  3. Step 3: Cross multiply
    208.98x = 313.61 × 87.35
  4. Step 4: Simplify right side
    208.98x = 27,391.83
  5. Step 5: Solve for x
    x = 27,391.83/208.98
  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.