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Finding the Fourth Proportional to 469.42, 704.24 and 144.78

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Solution

The fourth proportional to 469.42, 704.24 and 144.78 is: 217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.42 : 704.24 = 144.78 : x
  2. Step 2: Convert to fraction form
    469.42/704.24 = 144.78/x
  3. Step 3: Cross multiply
    469.42x = 704.24 × 144.78
  4. Step 4: Simplify right side
    469.42x = 101,960.90
  5. Step 5: Solve for x
    x = 101,960.90/469.42
  6. Step 6: Final answer
    x = 217.21

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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.