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Finding the Fourth Proportional to 451.11, 677.22 and 348.45

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Solution

The fourth proportional to 451.11, 677.22 and 348.45 is: 523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.11 : 677.22 = 348.45 : x
  2. Step 2: Convert to fraction form
    451.11/677.22 = 348.45/x
  3. Step 3: Cross multiply
    451.11x = 677.22 × 348.45
  4. Step 4: Simplify right side
    451.11x = 235,977.31
  5. Step 5: Solve for x
    x = 235,977.31/451.11
  6. Step 6: Final answer
    x = 523.10

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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.