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Finding the Fourth Proportional to 385.30, 575.42 and 324.46

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Solution

The fourth proportional to 385.30, 575.42 and 324.46 is: 484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.30 : 575.42 = 324.46 : x
  2. Step 2: Convert to fraction form
    385.30/575.42 = 324.46/x
  3. Step 3: Cross multiply
    385.30x = 575.42 × 324.46
  4. Step 4: Simplify right side
    385.30x = 186,700.77
  5. Step 5: Solve for x
    x = 186,700.77/385.30
  6. Step 6: Final answer
    x = 484.56

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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.