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Finding the Fourth Proportional to 469.57, 704.36 and 144.94

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Solution

The fourth proportional to 469.57, 704.36 and 144.94 is: 217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.57 : 704.36 = 144.94 : x
  2. Step 2: Convert to fraction form
    469.57/704.36 = 144.94/x
  3. Step 3: Cross multiply
    469.57x = 704.36 × 144.94
  4. Step 4: Simplify right side
    469.57x = 102,089.94
  5. Step 5: Solve for x
    x = 102,089.94/469.57
  6. Step 6: Final answer
    x = 217.41

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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.