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Finding the Fourth Proportional to 394.60, 544.26 and 307.24

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Solution

The fourth proportional to 394.60, 544.26 and 307.24 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.60 : 544.26 = 307.24 : x
  2. Step 2: Convert to fraction form
    394.60/544.26 = 307.24/x
  3. Step 3: Cross multiply
    394.60x = 544.26 × 307.24
  4. Step 4: Simplify right side
    394.60x = 167,218.44
  5. Step 5: Solve for x
    x = 167,218.44/394.60
  6. Step 6: Final answer
    x = 423.77

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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.