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Finding the Fourth Proportional to 469.43, 703.73 and 238.21

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Solution

The fourth proportional to 469.43, 703.73 and 238.21 is: 357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.43 : 703.73 = 238.21 : x
  2. Step 2: Convert to fraction form
    469.43/703.73 = 238.21/x
  3. Step 3: Cross multiply
    469.43x = 703.73 × 238.21
  4. Step 4: Simplify right side
    469.43x = 167,634.36
  5. Step 5: Solve for x
    x = 167,634.36/469.43
  6. Step 6: Final answer
    x = 357.10

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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.