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Finding the Fourth Proportional to 385.36, 579.07 and 231.34

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Solution

The fourth proportional to 385.36, 579.07 and 231.34 is: 347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.36 : 579.07 = 231.34 : x
  2. Step 2: Convert to fraction form
    385.36/579.07 = 231.34/x
  3. Step 3: Cross multiply
    385.36x = 579.07 × 231.34
  4. Step 4: Simplify right side
    385.36x = 133,962.05
  5. Step 5: Solve for x
    x = 133,962.05/385.36
  6. Step 6: Final answer
    x = 347.63

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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.