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Finding the Fourth Proportional to 389.13, 582.67 and 234.85

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Solution

The fourth proportional to 389.13, 582.67 and 234.85 is: 351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.13 : 582.67 = 234.85 : x
  2. Step 2: Convert to fraction form
    389.13/582.67 = 234.85/x
  3. Step 3: Cross multiply
    389.13x = 582.67 × 234.85
  4. Step 4: Simplify right side
    389.13x = 136,838.88
  5. Step 5: Solve for x
    x = 136,838.88/389.13
  6. Step 6: Final answer
    x = 351.65

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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.