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Finding the Fourth Proportional to 446.85, 616.29 and 299.25

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Solution

The fourth proportional to 446.85, 616.29 and 299.25 is: 412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.85 : 616.29 = 299.25 : x
  2. Step 2: Convert to fraction form
    446.85/616.29 = 299.25/x
  3. Step 3: Cross multiply
    446.85x = 616.29 × 299.25
  4. Step 4: Simplify right side
    446.85x = 184,424.78
  5. Step 5: Solve for x
    x = 184,424.78/446.85
  6. Step 6: Final answer
    x = 412.72

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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.