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Finding the Fourth Proportional to 296.28, 446.01 and 228.18

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Solution

The fourth proportional to 296.28, 446.01 and 228.18 is: 343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.28 : 446.01 = 228.18 : x
  2. Step 2: Convert to fraction form
    296.28/446.01 = 228.18/x
  3. Step 3: Cross multiply
    296.28x = 446.01 × 228.18
  4. Step 4: Simplify right side
    296.28x = 101,770.56
  5. Step 5: Solve for x
    x = 101,770.56/296.28
  6. Step 6: Final answer
    x = 343.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.