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Finding the Fourth Proportional to 213.57, 320.15 and 165.38

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Solution

The fourth proportional to 213.57, 320.15 and 165.38 is: 247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 320.15 = 165.38 : x
  2. Step 2: Convert to fraction form
    213.57/320.15 = 165.38/x
  3. Step 3: Cross multiply
    213.57x = 320.15 × 165.38
  4. Step 4: Simplify right side
    213.57x = 52,945.22
  5. Step 5: Solve for x
    x = 52,945.22/213.57
  6. Step 6: Final answer
    x = 247.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.