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Finding the Fourth Proportional to 385.79, 575.17 and 369.46

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Solution

The fourth proportional to 385.79, 575.17 and 369.46 is: 550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.79 : 575.17 = 369.46 : x
  2. Step 2: Convert to fraction form
    385.79/575.17 = 369.46/x
  3. Step 3: Cross multiply
    385.79x = 575.17 × 369.46
  4. Step 4: Simplify right side
    385.79x = 212,499.43
  5. Step 5: Solve for x
    x = 212,499.43/385.79
  6. Step 6: Final answer
    x = 550.82

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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.