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Finding the Fourth Proportional to 390.54, 588.75 and 364.12

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Solution

The fourth proportional to 390.54, 588.75 and 364.12 is: 548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.54 : 588.75 = 364.12 : x
  2. Step 2: Convert to fraction form
    390.54/588.75 = 364.12/x
  3. Step 3: Cross multiply
    390.54x = 588.75 × 364.12
  4. Step 4: Simplify right side
    390.54x = 214,375.65
  5. Step 5: Solve for x
    x = 214,375.65/390.54
  6. Step 6: Final answer
    x = 548.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.