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Finding the Fourth Proportional to 469.23, 703.67 and 161.00

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Solution

The fourth proportional to 469.23, 703.67 and 161.00 is: 241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.23 : 703.67 = 161.00 : x
  2. Step 2: Convert to fraction form
    469.23/703.67 = 161.00/x
  3. Step 3: Cross multiply
    469.23x = 703.67 × 161.00
  4. Step 4: Simplify right side
    469.23x = 113,287.35
  5. Step 5: Solve for x
    x = 113,287.35/469.23
  6. Step 6: Final answer
    x = 241.43

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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.