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Finding the Fourth Proportional to 237.46, 353.40 and 228.82

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Solution

The fourth proportional to 237.46, 353.40 and 228.82 is: 340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.46 : 353.40 = 228.82 : x
  2. Step 2: Convert to fraction form
    237.46/353.40 = 228.82/x
  3. Step 3: Cross multiply
    237.46x = 353.40 × 228.82
  4. Step 4: Simplify right side
    237.46x = 80,864.99
  5. Step 5: Solve for x
    x = 80,864.99/237.46
  6. Step 6: Final answer
    x = 340.54

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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.