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Finding the Fourth Proportional to 469.57, 704.23 and 140.42

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Solution

The fourth proportional to 469.57, 704.23 and 140.42 is: 210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.57 : 704.23 = 140.42 : x
  2. Step 2: Convert to fraction form
    469.57/704.23 = 140.42/x
  3. Step 3: Cross multiply
    469.57x = 704.23 × 140.42
  4. Step 4: Simplify right side
    469.57x = 98,887.98
  5. Step 5: Solve for x
    x = 98,887.98/469.57
  6. Step 6: Final answer
    x = 210.59

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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.