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Finding the Fourth Proportional to 258.15, 385.24 and 230.82

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Solution

The fourth proportional to 258.15, 385.24 and 230.82 is: 344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.15 : 385.24 = 230.82 : x
  2. Step 2: Convert to fraction form
    258.15/385.24 = 230.82/x
  3. Step 3: Cross multiply
    258.15x = 385.24 × 230.82
  4. Step 4: Simplify right side
    258.15x = 88,919.51
  5. Step 5: Solve for x
    x = 88,919.51/258.15
  6. Step 6: Final answer
    x = 344.44

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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.