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Finding the Fourth Proportional to 415.43, 573.38 and 402.42

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Solution

The fourth proportional to 415.43, 573.38 and 402.42 is: 555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.43 : 573.38 = 402.42 : x
  2. Step 2: Convert to fraction form
    415.43/573.38 = 402.42/x
  3. Step 3: Cross multiply
    415.43x = 573.38 × 402.42
  4. Step 4: Simplify right side
    415.43x = 230,739.58
  5. Step 5: Solve for x
    x = 230,739.58/415.43
  6. Step 6: Final answer
    x = 555.42

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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.