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Finding the Fourth Proportional to 385.63, 579.24 and 375.38

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Solution

The fourth proportional to 385.63, 579.24 and 375.38 is: 563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.63 : 579.24 = 375.38 : x
  2. Step 2: Convert to fraction form
    385.63/579.24 = 375.38/x
  3. Step 3: Cross multiply
    385.63x = 579.24 × 375.38
  4. Step 4: Simplify right side
    385.63x = 217,435.11
  5. Step 5: Solve for x
    x = 217,435.11/385.63
  6. Step 6: Final answer
    x = 563.84

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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.