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Finding the Fourth Proportional to 392.90, 589.34 and 228.62

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Solution

The fourth proportional to 392.90, 589.34 and 228.62 is: 342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.90 : 589.34 = 228.62 : x
  2. Step 2: Convert to fraction form
    392.90/589.34 = 228.62/x
  3. Step 3: Cross multiply
    392.90x = 589.34 × 228.62
  4. Step 4: Simplify right side
    392.90x = 134,736.96
  5. Step 5: Solve for x
    x = 134,736.96/392.90
  6. Step 6: Final answer
    x = 342.93

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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.