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Finding the Fourth Proportional to 385.86, 531.30 and 350.67

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Solution

The fourth proportional to 385.86, 531.30 and 350.67 is: 482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.86 : 531.30 = 350.67 : x
  2. Step 2: Convert to fraction form
    385.86/531.30 = 350.67/x
  3. Step 3: Cross multiply
    385.86x = 531.30 × 350.67
  4. Step 4: Simplify right side
    385.86x = 186,310.97
  5. Step 5: Solve for x
    x = 186,310.97/385.86
  6. Step 6: Final answer
    x = 482.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.