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Finding the Fourth Proportional to 394.08, 545.04 and 338.88

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Solution

The fourth proportional to 394.08, 545.04 and 338.88 is: 468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.08 : 545.04 = 338.88 : x
  2. Step 2: Convert to fraction form
    394.08/545.04 = 338.88/x
  3. Step 3: Cross multiply
    394.08x = 545.04 × 338.88
  4. Step 4: Simplify right side
    394.08x = 184,703.16
  5. Step 5: Solve for x
    x = 184,703.16/394.08
  6. Step 6: Final answer
    x = 468.69

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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.