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Finding the Fourth Proportional to 446.16, 616.12 and 352.56

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Solution

The fourth proportional to 446.16, 616.12 and 352.56 is: 486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.16 : 616.12 = 352.56 : x
  2. Step 2: Convert to fraction form
    446.16/616.12 = 352.56/x
  3. Step 3: Cross multiply
    446.16x = 616.12 × 352.56
  4. Step 4: Simplify right side
    446.16x = 217,219.27
  5. Step 5: Solve for x
    x = 217,219.27/446.16
  6. Step 6: Final answer
    x = 486.86

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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.