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Finding the Fourth Proportional to 385.10, 574.74 and 353.60

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Solution

The fourth proportional to 385.10, 574.74 and 353.60 is: 527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.10 : 574.74 = 353.60 : x
  2. Step 2: Convert to fraction form
    385.10/574.74 = 353.60/x
  3. Step 3: Cross multiply
    385.10x = 574.74 × 353.60
  4. Step 4: Simplify right side
    385.10x = 203,226.30
  5. Step 5: Solve for x
    x = 203,226.30/385.10
  6. Step 6: Final answer
    x = 527.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.