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Finding the Fourth Proportional to 435.13, 600.49 and 238.64

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Solution

The fourth proportional to 435.13, 600.49 and 238.64 is: 329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.13 : 600.49 = 238.64 : x
  2. Step 2: Convert to fraction form
    435.13/600.49 = 238.64/x
  3. Step 3: Cross multiply
    435.13x = 600.49 × 238.64
  4. Step 4: Simplify right side
    435.13x = 143,301.84
  5. Step 5: Solve for x
    x = 143,301.84/435.13
  6. Step 6: Final answer
    x = 329.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.