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Finding the Fourth Proportional to 358.80, 493.92 and 300.48

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Solution

The fourth proportional to 358.80, 493.92 and 300.48 is: 413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 493.92 = 300.48 : x
  2. Step 2: Convert to fraction form
    358.80/493.92 = 300.48/x
  3. Step 3: Cross multiply
    358.80x = 493.92 × 300.48
  4. Step 4: Simplify right side
    358.80x = 148,413.08
  5. Step 5: Solve for x
    x = 148,413.08/358.80
  6. Step 6: Final answer
    x = 413.64

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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.