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Finding the Fourth Proportional to 269.56, 402.38 and 228.60

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Solution

The fourth proportional to 269.56, 402.38 and 228.60 is: 341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.56 : 402.38 = 228.60 : x
  2. Step 2: Convert to fraction form
    269.56/402.38 = 228.60/x
  3. Step 3: Cross multiply
    269.56x = 402.38 × 228.60
  4. Step 4: Simplify right side
    269.56x = 91,984.07
  5. Step 5: Solve for x
    x = 91,984.07/269.56
  6. Step 6: Final answer
    x = 341.24

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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.