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Finding the Fourth Proportional to 522.21, 720.78 and 301.19

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Solution

The fourth proportional to 522.21, 720.78 and 301.19 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.21 : 720.78 = 301.19 : x
  2. Step 2: Convert to fraction form
    522.21/720.78 = 301.19/x
  3. Step 3: Cross multiply
    522.21x = 720.78 × 301.19
  4. Step 4: Simplify right side
    522.21x = 217,091.73
  5. Step 5: Solve for x
    x = 217,091.73/522.21
  6. Step 6: Final answer
    x = 415.72

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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.