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Finding the Fourth Proportional to 415.78, 573.42 and 328.30

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Solution

The fourth proportional to 415.78, 573.42 and 328.30 is: 452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.78 : 573.42 = 328.30 : x
  2. Step 2: Convert to fraction form
    415.78/573.42 = 328.30/x
  3. Step 3: Cross multiply
    415.78x = 573.42 × 328.30
  4. Step 4: Simplify right side
    415.78x = 188,253.79
  5. Step 5: Solve for x
    x = 188,253.79/415.78
  6. Step 6: Final answer
    x = 452.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.