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Finding the Fourth Proportional to 443.91, 612.23 and 301.89

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Solution

The fourth proportional to 443.91, 612.23 and 301.89 is: 416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.91 : 612.23 = 301.89 : x
  2. Step 2: Convert to fraction form
    443.91/612.23 = 301.89/x
  3. Step 3: Cross multiply
    443.91x = 612.23 × 301.89
  4. Step 4: Simplify right side
    443.91x = 184,826.90
  5. Step 5: Solve for x
    x = 184,826.90/443.91
  6. Step 6: Final answer
    x = 416.36

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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.