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Finding the Fourth Proportional to 258.95, 386.28 and 230.41

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Solution

The fourth proportional to 258.95, 386.28 and 230.41 is: 343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.95 : 386.28 = 230.41 : x
  2. Step 2: Convert to fraction form
    258.95/386.28 = 230.41/x
  3. Step 3: Cross multiply
    258.95x = 386.28 × 230.41
  4. Step 4: Simplify right side
    258.95x = 89,002.77
  5. Step 5: Solve for x
    x = 89,002.77/258.95
  6. Step 6: Final answer
    x = 343.71

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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.