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Finding the Fourth Proportional to 368.66, 553.01 and 163.23

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Solution

The fourth proportional to 368.66, 553.01 and 163.23 is: 244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.66 : 553.01 = 163.23 : x
  2. Step 2: Convert to fraction form
    368.66/553.01 = 163.23/x
  3. Step 3: Cross multiply
    368.66x = 553.01 × 163.23
  4. Step 4: Simplify right side
    368.66x = 90,267.01
  5. Step 5: Solve for x
    x = 90,267.01/368.66
  6. Step 6: Final answer
    x = 244.85

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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.