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Finding the Fourth Proportional to 385.84, 535.22 and 372.40

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Solution

The fourth proportional to 385.84, 535.22 and 372.40 is: 516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.84 : 535.22 = 372.40 : x
  2. Step 2: Convert to fraction form
    385.84/535.22 = 372.40/x
  3. Step 3: Cross multiply
    385.84x = 535.22 × 372.40
  4. Step 4: Simplify right side
    385.84x = 199,315.93
  5. Step 5: Solve for x
    x = 199,315.93/385.84
  6. Step 6: Final answer
    x = 516.58

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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.