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Finding the Fourth Proportional to 247.35, 371.16 and 189.66

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Solution

The fourth proportional to 247.35, 371.16 and 189.66 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.35 : 371.16 = 189.66 : x
  2. Step 2: Convert to fraction form
    247.35/371.16 = 189.66/x
  3. Step 3: Cross multiply
    247.35x = 371.16 × 189.66
  4. Step 4: Simplify right side
    247.35x = 70,394.21
  5. Step 5: Solve for x
    x = 70,394.21/247.35
  6. Step 6: Final answer
    x = 284.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.