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Finding the Fourth Proportional to 394.51, 591.81 and 293.08

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Solution

The fourth proportional to 394.51, 591.81 and 293.08 is: 439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.51 : 591.81 = 293.08 : x
  2. Step 2: Convert to fraction form
    394.51/591.81 = 293.08/x
  3. Step 3: Cross multiply
    394.51x = 591.81 × 293.08
  4. Step 4: Simplify right side
    394.51x = 173,447.67
  5. Step 5: Solve for x
    x = 173,447.67/394.51
  6. Step 6: Final answer
    x = 439.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.