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Finding the Fourth Proportional to 394.79, 588.60 and 360.14

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Solution

The fourth proportional to 394.79, 588.60 and 360.14 is: 536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.79 : 588.60 = 360.14 : x
  2. Step 2: Convert to fraction form
    394.79/588.60 = 360.14/x
  3. Step 3: Cross multiply
    394.79x = 588.60 × 360.14
  4. Step 4: Simplify right side
    394.79x = 211,975.46
  5. Step 5: Solve for x
    x = 211,975.46/394.79
  6. Step 6: Final answer
    x = 536.94

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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.