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Finding the Fourth Proportional to 392.90, 589.49 and 230.39

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Solution

The fourth proportional to 392.90, 589.49 and 230.39 is: 345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.90 : 589.49 = 230.39 : x
  2. Step 2: Convert to fraction form
    392.90/589.49 = 230.39/x
  3. Step 3: Cross multiply
    392.90x = 589.49 × 230.39
  4. Step 4: Simplify right side
    392.90x = 135,810.23
  5. Step 5: Solve for x
    x = 135,810.23/392.90
  6. Step 6: Final answer
    x = 345.67

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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.