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Finding the Fourth Proportional to 446.68, 616.30 and 299.40

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Solution

The fourth proportional to 446.68, 616.30 and 299.40 is: 413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.68 : 616.30 = 299.40 : x
  2. Step 2: Convert to fraction form
    446.68/616.30 = 299.40/x
  3. Step 3: Cross multiply
    446.68x = 616.30 × 299.40
  4. Step 4: Simplify right side
    446.68x = 184,520.22
  5. Step 5: Solve for x
    x = 184,520.22/446.68
  6. Step 6: Final answer
    x = 413.09

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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.