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Finding the Fourth Proportional to 385.02, 574.43 and 374.49

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Solution

The fourth proportional to 385.02, 574.43 and 374.49 is: 558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.02 : 574.43 = 374.49 : x
  2. Step 2: Convert to fraction form
    385.02/574.43 = 374.49/x
  3. Step 3: Cross multiply
    385.02x = 574.43 × 374.49
  4. Step 4: Simplify right side
    385.02x = 215,116.42
  5. Step 5: Solve for x
    x = 215,116.42/385.02
  6. Step 6: Final answer
    x = 558.71

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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.