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Finding the Fourth Proportional to 368.31, 551.52 and 258.96

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Solution

The fourth proportional to 368.31, 551.52 and 258.96 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.31 : 551.52 = 258.96 : x
  2. Step 2: Convert to fraction form
    368.31/551.52 = 258.96/x
  3. Step 3: Cross multiply
    368.31x = 551.52 × 258.96
  4. Step 4: Simplify right side
    368.31x = 142,821.62
  5. Step 5: Solve for x
    x = 142,821.62/368.31
  6. Step 6: Final answer
    x = 387.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.