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Finding the Fourth Proportional to 385.67, 581.29 and 332.21

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Solution

The fourth proportional to 385.67, 581.29 and 332.21 is: 500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.67 : 581.29 = 332.21 : x
  2. Step 2: Convert to fraction form
    385.67/581.29 = 332.21/x
  3. Step 3: Cross multiply
    385.67x = 581.29 × 332.21
  4. Step 4: Simplify right side
    385.67x = 193,110.35
  5. Step 5: Solve for x
    x = 193,110.35/385.67
  6. Step 6: Final answer
    x = 500.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.