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Finding the Fourth Proportional to 368.92, 553.61 and 163.63

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Solution

The fourth proportional to 368.92, 553.61 and 163.63 is: 245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.92 : 553.61 = 163.63 : x
  2. Step 2: Convert to fraction form
    368.92/553.61 = 163.63/x
  3. Step 3: Cross multiply
    368.92x = 553.61 × 163.63
  4. Step 4: Simplify right side
    368.92x = 90,587.20
  5. Step 5: Solve for x
    x = 90,587.20/368.92
  6. Step 6: Final answer
    x = 245.55

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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.