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Finding the Fourth Proportional to 553.18, 828.56 and 227.56

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Solution

The fourth proportional to 553.18, 828.56 and 227.56 is: 340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.18 : 828.56 = 227.56 : x
  2. Step 2: Convert to fraction form
    553.18/828.56 = 227.56/x
  3. Step 3: Cross multiply
    553.18x = 828.56 × 227.56
  4. Step 4: Simplify right side
    553.18x = 188,547.11
  5. Step 5: Solve for x
    x = 188,547.11/553.18
  6. Step 6: Final answer
    x = 340.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.