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Finding the Fourth Proportional to 358.79, 495.14 and 227.66

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Solution

The fourth proportional to 358.79, 495.14 and 227.66 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.79 : 495.14 = 227.66 : x
  2. Step 2: Convert to fraction form
    358.79/495.14 = 227.66/x
  3. Step 3: Cross multiply
    358.79x = 495.14 × 227.66
  4. Step 4: Simplify right side
    358.79x = 112,719.96
  5. Step 5: Solve for x
    x = 112,719.96/358.79
  6. Step 6: Final answer
    x = 314.17

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Why These Related Problems?

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