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Finding the Fourth Proportional to 230.03, 344.24 and 165.09

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Solution

The fourth proportional to 230.03, 344.24 and 165.09 is: 247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.03 : 344.24 = 165.09 : x
  2. Step 2: Convert to fraction form
    230.03/344.24 = 165.09/x
  3. Step 3: Cross multiply
    230.03x = 344.24 × 165.09
  4. Step 4: Simplify right side
    230.03x = 56,829.76
  5. Step 5: Solve for x
    x = 56,829.76/230.03
  6. Step 6: Final answer
    x = 247.06

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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.