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Finding the Fourth Proportional to 394.52, 588.58 and 359.15

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Solution

The fourth proportional to 394.52, 588.58 and 359.15 is: 535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.52 : 588.58 = 359.15 : x
  2. Step 2: Convert to fraction form
    394.52/588.58 = 359.15/x
  3. Step 3: Cross multiply
    394.52x = 588.58 × 359.15
  4. Step 4: Simplify right side
    394.52x = 211,388.51
  5. Step 5: Solve for x
    x = 211,388.51/394.52
  6. Step 6: Final answer
    x = 535.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.