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Finding the Fourth Proportional to 415.96, 573.82 and 291.74

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Solution

The fourth proportional to 415.96, 573.82 and 291.74 is: 402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.96 : 573.82 = 291.74 : x
  2. Step 2: Convert to fraction form
    415.96/573.82 = 291.74/x
  3. Step 3: Cross multiply
    415.96x = 573.82 × 291.74
  4. Step 4: Simplify right side
    415.96x = 167,406.25
  5. Step 5: Solve for x
    x = 167,406.25/415.96
  6. Step 6: Final answer
    x = 402.46

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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.