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Finding the Fourth Proportional to 394.11, 589.95 and 360.51

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Solution

The fourth proportional to 394.11, 589.95 and 360.51 is: 539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.11 : 589.95 = 360.51 : x
  2. Step 2: Convert to fraction form
    394.11/589.95 = 360.51/x
  3. Step 3: Cross multiply
    394.11x = 589.95 × 360.51
  4. Step 4: Simplify right side
    394.11x = 212,682.87
  5. Step 5: Solve for x
    x = 212,682.87/394.11
  6. Step 6: Final answer
    x = 539.65

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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.