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Finding the Fourth Proportional to 394.52, 543.48 and 307.04

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Solution

The fourth proportional to 394.52, 543.48 and 307.04 is: 422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.52 : 543.48 = 307.04 : x
  2. Step 2: Convert to fraction form
    394.52/543.48 = 307.04/x
  3. Step 3: Cross multiply
    394.52x = 543.48 × 307.04
  4. Step 4: Simplify right side
    394.52x = 166,870.10
  5. Step 5: Solve for x
    x = 166,870.10/394.52
  6. Step 6: Final answer
    x = 422.97

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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.