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Finding the Fourth Proportional to 368.96, 553.62 and 323.24

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Solution

The fourth proportional to 368.96, 553.62 and 323.24 is: 485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.96 : 553.62 = 323.24 : x
  2. Step 2: Convert to fraction form
    368.96/553.62 = 323.24/x
  3. Step 3: Cross multiply
    368.96x = 553.62 × 323.24
  4. Step 4: Simplify right side
    368.96x = 178,952.13
  5. Step 5: Solve for x
    x = 178,952.13/368.96
  6. Step 6: Final answer
    x = 485.02

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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.