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Finding the Fourth Proportional to 394.80, 545.68 and 347.76

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Solution

The fourth proportional to 394.80, 545.68 and 347.76 is: 480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.80 : 545.68 = 347.76 : x
  2. Step 2: Convert to fraction form
    394.80/545.68 = 347.76/x
  3. Step 3: Cross multiply
    394.80x = 545.68 × 347.76
  4. Step 4: Simplify right side
    394.80x = 189,765.68
  5. Step 5: Solve for x
    x = 189,765.68/394.80
  6. Step 6: Final answer
    x = 480.66

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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.