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Finding the Fourth Proportional to 258.41, 385.73 and 224.30

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Solution

The fourth proportional to 258.41, 385.73 and 224.30 is: 334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.41 : 385.73 = 224.30 : x
  2. Step 2: Convert to fraction form
    258.41/385.73 = 224.30/x
  3. Step 3: Cross multiply
    258.41x = 385.73 × 224.30
  4. Step 4: Simplify right side
    258.41x = 86,519.24
  5. Step 5: Solve for x
    x = 86,519.24/258.41
  6. Step 6: Final answer
    x = 334.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.