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Finding the Fourth Proportional to 394.09, 544.29 and 294.86

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Solution

The fourth proportional to 394.09, 544.29 and 294.86 is: 407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.09 : 544.29 = 294.86 : x
  2. Step 2: Convert to fraction form
    394.09/544.29 = 294.86/x
  3. Step 3: Cross multiply
    394.09x = 544.29 × 294.86
  4. Step 4: Simplify right side
    394.09x = 160,489.60
  5. Step 5: Solve for x
    x = 160,489.60/394.09
  6. Step 6: Final answer
    x = 407.24

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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.