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Finding the Fourth Proportional to 209.32, 314.08 and 87.56

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Solution

The fourth proportional to 209.32, 314.08 and 87.56 is: 131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 314.08 = 87.56 : x
  2. Step 2: Convert to fraction form
    209.32/314.08 = 87.56/x
  3. Step 3: Cross multiply
    209.32x = 314.08 × 87.56
  4. Step 4: Simplify right side
    209.32x = 27,500.84
  5. Step 5: Solve for x
    x = 27,500.84/209.32
  6. Step 6: Final answer
    x = 131.38

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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.