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Finding the Fourth Proportional to 394.62, 544.46 and 263.50

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Solution

The fourth proportional to 394.62, 544.46 and 263.50 is: 363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.62 : 544.46 = 263.50 : x
  2. Step 2: Convert to fraction form
    394.62/544.46 = 263.50/x
  3. Step 3: Cross multiply
    394.62x = 544.46 × 263.50
  4. Step 4: Simplify right side
    394.62x = 143,465.21
  5. Step 5: Solve for x
    x = 143,465.21/394.62
  6. Step 6: Final answer
    x = 363.55

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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.