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Finding the Fourth Proportional to 258.41, 389.55 and 241.23

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Solution

The fourth proportional to 258.41, 389.55 and 241.23 is: 363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.41 : 389.55 = 241.23 : x
  2. Step 2: Convert to fraction form
    258.41/389.55 = 241.23/x
  3. Step 3: Cross multiply
    258.41x = 389.55 × 241.23
  4. Step 4: Simplify right side
    258.41x = 93,970.38
  5. Step 5: Solve for x
    x = 93,970.38/258.41
  6. Step 6: Final answer
    x = 363.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.