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Finding the Fourth Proportional to 237.79, 354.32 and 212.26

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Solution

The fourth proportional to 237.79, 354.32 and 212.26 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.79 : 354.32 = 212.26 : x
  2. Step 2: Convert to fraction form
    237.79/354.32 = 212.26/x
  3. Step 3: Cross multiply
    237.79x = 354.32 × 212.26
  4. Step 4: Simplify right side
    237.79x = 75,207.96
  5. Step 5: Solve for x
    x = 75,207.96/237.79
  6. Step 6: Final answer
    x = 316.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.