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Finding the Fourth Proportional to 389.10, 582.18 and 238.29

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Solution

The fourth proportional to 389.10, 582.18 and 238.29 is: 356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.10 : 582.18 = 238.29 : x
  2. Step 2: Convert to fraction form
    389.10/582.18 = 238.29/x
  3. Step 3: Cross multiply
    389.10x = 582.18 × 238.29
  4. Step 4: Simplify right side
    389.10x = 138,727.67
  5. Step 5: Solve for x
    x = 138,727.67/389.10
  6. Step 6: Final answer
    x = 356.53

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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.