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Finding the Fourth Proportional to 237.81, 354.26 and 230.64

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Solution

The fourth proportional to 237.81, 354.26 and 230.64 is: 343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.81 : 354.26 = 230.64 : x
  2. Step 2: Convert to fraction form
    237.81/354.26 = 230.64/x
  3. Step 3: Cross multiply
    237.81x = 354.26 × 230.64
  4. Step 4: Simplify right side
    237.81x = 81,705.37
  5. Step 5: Solve for x
    x = 81,705.37/237.81
  6. Step 6: Final answer
    x = 343.57

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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.