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Finding the Fourth Proportional to 385.10, 533.67 and 377.81

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Solution

The fourth proportional to 385.10, 533.67 and 377.81 is: 523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.10 : 533.67 = 377.81 : x
  2. Step 2: Convert to fraction form
    385.10/533.67 = 377.81/x
  3. Step 3: Cross multiply
    385.10x = 533.67 × 377.81
  4. Step 4: Simplify right side
    385.10x = 201,625.86
  5. Step 5: Solve for x
    x = 201,625.86/385.10
  6. Step 6: Final answer
    x = 523.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.