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Finding the Fourth Proportional to 394.98, 544.82 and 247.70

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Solution

The fourth proportional to 394.98, 544.82 and 247.70 is: 341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.98 : 544.82 = 247.70 : x
  2. Step 2: Convert to fraction form
    394.98/544.82 = 247.70/x
  3. Step 3: Cross multiply
    394.98x = 544.82 × 247.70
  4. Step 4: Simplify right side
    394.98x = 134,953.90
  5. Step 5: Solve for x
    x = 134,953.90/394.98
  6. Step 6: Final answer
    x = 341.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.