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Finding the Fourth Proportional to 415.86, 573.84 and 353.58

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Solution

The fourth proportional to 415.86, 573.84 and 353.58 is: 487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.86 : 573.84 = 353.58 : x
  2. Step 2: Convert to fraction form
    415.86/573.84 = 353.58/x
  3. Step 3: Cross multiply
    415.86x = 573.84 × 353.58
  4. Step 4: Simplify right side
    415.86x = 202,898.35
  5. Step 5: Solve for x
    x = 202,898.35/415.86
  6. Step 6: Final answer
    x = 487.90

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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.