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Finding the Fourth Proportional to 385.83, 579.29 and 331.70

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Solution

The fourth proportional to 385.83, 579.29 and 331.70 is: 498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.83 : 579.29 = 331.70 : x
  2. Step 2: Convert to fraction form
    385.83/579.29 = 331.70/x
  3. Step 3: Cross multiply
    385.83x = 579.29 × 331.70
  4. Step 4: Simplify right side
    385.83x = 192,145.94
  5. Step 5: Solve for x
    x = 192,145.94/385.83
  6. Step 6: Final answer
    x = 498.01

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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.