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Finding the Fourth Proportional to 358.79, 495.21 and 299.71

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Solution

The fourth proportional to 358.79, 495.21 and 299.71 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.79 : 495.21 = 299.71 : x
  2. Step 2: Convert to fraction form
    358.79/495.21 = 299.71/x
  3. Step 3: Cross multiply
    358.79x = 495.21 × 299.71
  4. Step 4: Simplify right side
    358.79x = 148,419.39
  5. Step 5: Solve for x
    x = 148,419.39/358.79
  6. Step 6: Final answer
    x = 413.67

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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.