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Finding the Fourth Proportional to 394.81, 545.14 and 247.71

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Solution

The fourth proportional to 394.81, 545.14 and 247.71 is: 342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.81 : 545.14 = 247.71 : x
  2. Step 2: Convert to fraction form
    394.81/545.14 = 247.71/x
  3. Step 3: Cross multiply
    394.81x = 545.14 × 247.71
  4. Step 4: Simplify right side
    394.81x = 135,036.63
  5. Step 5: Solve for x
    x = 135,036.63/394.81
  6. Step 6: Final answer
    x = 342.03

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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.