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Finding the Fourth Proportional to 553.81, 830.64 and 163.80

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Solution

The fourth proportional to 553.81, 830.64 and 163.80 is: 245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.81 : 830.64 = 163.80 : x
  2. Step 2: Convert to fraction form
    553.81/830.64 = 163.80/x
  3. Step 3: Cross multiply
    553.81x = 830.64 × 163.80
  4. Step 4: Simplify right side
    553.81x = 136,060.08
  5. Step 5: Solve for x
    x = 136,060.08/553.81
  6. Step 6: Final answer
    x = 245.68

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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.