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Finding the Fourth Proportional to 415.79, 573.77 and 238.63

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Solution

The fourth proportional to 415.79, 573.77 and 238.63 is: 329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.79 : 573.77 = 238.63 : x
  2. Step 2: Convert to fraction form
    415.79/573.77 = 238.63/x
  3. Step 3: Cross multiply
    415.79x = 573.77 × 238.63
  4. Step 4: Simplify right side
    415.79x = 136,914.67
  5. Step 5: Solve for x
    x = 136,914.67/415.79
  6. Step 6: Final answer
    x = 329.29

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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.