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Finding the Fourth Proportional to 469.86, 704.55 and 226.11

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Solution

The fourth proportional to 469.86, 704.55 and 226.11 is: 339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.86 : 704.55 = 226.11 : x
  2. Step 2: Convert to fraction form
    469.86/704.55 = 226.11/x
  3. Step 3: Cross multiply
    469.86x = 704.55 × 226.11
  4. Step 4: Simplify right side
    469.86x = 159,305.80
  5. Step 5: Solve for x
    x = 159,305.80/469.86
  6. Step 6: Final answer
    x = 339.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.