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Finding the Fourth Proportional to 368.25, 551.27 and 230.96

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Solution

The fourth proportional to 368.25, 551.27 and 230.96 is: 345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.25 : 551.27 = 230.96 : x
  2. Step 2: Convert to fraction form
    368.25/551.27 = 230.96/x
  3. Step 3: Cross multiply
    368.25x = 551.27 × 230.96
  4. Step 4: Simplify right side
    368.25x = 127,317.41
  5. Step 5: Solve for x
    x = 127,317.41/368.25
  6. Step 6: Final answer
    x = 345.74

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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.