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Finding the Fourth Proportional to 415.78, 574.01 and 258.46

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Solution

The fourth proportional to 415.78, 574.01 and 258.46 is: 356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.78 : 574.01 = 258.46 : x
  2. Step 2: Convert to fraction form
    415.78/574.01 = 258.46/x
  3. Step 3: Cross multiply
    415.78x = 574.01 × 258.46
  4. Step 4: Simplify right side
    415.78x = 148,357.33
  5. Step 5: Solve for x
    x = 148,357.33/415.78
  6. Step 6: Final answer
    x = 356.82

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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.