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Finding the Fourth Proportional to 415.25, 619.35 and 353.69

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Solution

The fourth proportional to 415.25, 619.35 and 353.69 is: 527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.25 : 619.35 = 353.69 : x
  2. Step 2: Convert to fraction form
    415.25/619.35 = 353.69/x
  3. Step 3: Cross multiply
    415.25x = 619.35 × 353.69
  4. Step 4: Simplify right side
    415.25x = 219,054.80
  5. Step 5: Solve for x
    x = 219,054.80/415.25
  6. Step 6: Final answer
    x = 527.53

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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.