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Finding the Fourth Proportional to 258.04, 385.03 and 254.26

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Solution

The fourth proportional to 258.04, 385.03 and 254.26 is: 379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.04 : 385.03 = 254.26 : x
  2. Step 2: Convert to fraction form
    258.04/385.03 = 254.26/x
  3. Step 3: Cross multiply
    258.04x = 385.03 × 254.26
  4. Step 4: Simplify right side
    258.04x = 97,897.73
  5. Step 5: Solve for x
    x = 97,897.73/258.04
  6. Step 6: Final answer
    x = 379.39

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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.