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Finding the Fourth Proportional to 358.10, 493.89 and 227.14

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Solution

The fourth proportional to 358.10, 493.89 and 227.14 is: 313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.10 : 493.89 = 227.14 : x
  2. Step 2: Convert to fraction form
    358.10/493.89 = 227.14/x
  3. Step 3: Cross multiply
    358.10x = 493.89 × 227.14
  4. Step 4: Simplify right side
    358.10x = 112,182.17
  5. Step 5: Solve for x
    x = 112,182.17/358.10
  6. Step 6: Final answer
    x = 313.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.