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Finding the Fourth Proportional to 385.70, 574.14 and 381.56

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Solution

The fourth proportional to 385.70, 574.14 and 381.56 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.70 : 574.14 = 381.56 : x
  2. Step 2: Convert to fraction form
    385.70/574.14 = 381.56/x
  3. Step 3: Cross multiply
    385.70x = 574.14 × 381.56
  4. Step 4: Simplify right side
    385.70x = 219,068.86
  5. Step 5: Solve for x
    x = 219,068.86/385.70
  6. Step 6: Final answer
    x = 567.98

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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.