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Finding the Fourth Proportional to 415.92, 573.89 and 250.07

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Solution

The fourth proportional to 415.92, 573.89 and 250.07 is: 345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.92 : 573.89 = 250.07 : x
  2. Step 2: Convert to fraction form
    415.92/573.89 = 250.07/x
  3. Step 3: Cross multiply
    415.92x = 573.89 × 250.07
  4. Step 4: Simplify right side
    415.92x = 143,513.79
  5. Step 5: Solve for x
    x = 143,513.79/415.92
  6. Step 6: Final answer
    x = 345.05

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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.