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Finding the Fourth Proportional to 237.10, 354.96 and 214.54

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Solution

The fourth proportional to 237.10, 354.96 and 214.54 is: 321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.10 : 354.96 = 214.54 : x
  2. Step 2: Convert to fraction form
    237.10/354.96 = 214.54/x
  3. Step 3: Cross multiply
    237.10x = 354.96 × 214.54
  4. Step 4: Simplify right side
    237.10x = 76,153.12
  5. Step 5: Solve for x
    x = 76,153.12/237.10
  6. Step 6: Final answer
    x = 321.19

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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.