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Finding the Fourth Proportional to 385.38, 528.60 and 364.50

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Solution

The fourth proportional to 385.38, 528.60 and 364.50 is: 499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.38 : 528.60 = 364.50 : x
  2. Step 2: Convert to fraction form
    385.38/528.60 = 364.50/x
  3. Step 3: Cross multiply
    385.38x = 528.60 × 364.50
  4. Step 4: Simplify right side
    385.38x = 192,674.70
  5. Step 5: Solve for x
    x = 192,674.70/385.38
  6. Step 6: Final answer
    x = 499.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.