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Finding the Fourth Proportional to 385.55, 578.33 and 332.70

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Solution

The fourth proportional to 385.55, 578.33 and 332.70 is: 499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.55 : 578.33 = 332.70 : x
  2. Step 2: Convert to fraction form
    385.55/578.33 = 332.70/x
  3. Step 3: Cross multiply
    385.55x = 578.33 × 332.70
  4. Step 4: Simplify right side
    385.55x = 192,408.73
  5. Step 5: Solve for x
    x = 192,408.73/385.55
  6. Step 6: Final answer
    x = 499.06

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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.