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Finding the Fourth Proportional to 446.46, 616.58 and 372.06

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Solution

The fourth proportional to 446.46, 616.58 and 372.06 is: 513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.46 : 616.58 = 372.06 : x
  2. Step 2: Convert to fraction form
    446.46/616.58 = 372.06/x
  3. Step 3: Cross multiply
    446.46x = 616.58 × 372.06
  4. Step 4: Simplify right side
    446.46x = 229,404.75
  5. Step 5: Solve for x
    x = 229,404.75/446.46
  6. Step 6: Final answer
    x = 513.83

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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.