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Finding the Fourth Proportional to 392.60, 589.08 and 386.12

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Solution

The fourth proportional to 392.60, 589.08 and 386.12 is: 579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.60 : 589.08 = 386.12 : x
  2. Step 2: Convert to fraction form
    392.60/589.08 = 386.12/x
  3. Step 3: Cross multiply
    392.60x = 589.08 × 386.12
  4. Step 4: Simplify right side
    392.60x = 227,455.57
  5. Step 5: Solve for x
    x = 227,455.57/392.60
  6. Step 6: Final answer
    x = 579.36

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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.