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Finding the Fourth Proportional to 469.45, 703.90 and 161.30

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Solution

The fourth proportional to 469.45, 703.90 and 161.30 is: 241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.45 : 703.90 = 161.30 : x
  2. Step 2: Convert to fraction form
    469.45/703.90 = 161.30/x
  3. Step 3: Cross multiply
    469.45x = 703.90 × 161.30
  4. Step 4: Simplify right side
    469.45x = 113,539.07
  5. Step 5: Solve for x
    x = 113,539.07/469.45
  6. Step 6: Final answer
    x = 241.86

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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.