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Finding the Fourth Proportional to 243.36, 335.79 and 145.08

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Solution

The fourth proportional to 243.36, 335.79 and 145.08 is: 200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.36 : 335.79 = 145.08 : x
  2. Step 2: Convert to fraction form
    243.36/335.79 = 145.08/x
  3. Step 3: Cross multiply
    243.36x = 335.79 × 145.08
  4. Step 4: Simplify right side
    243.36x = 48,716.41
  5. Step 5: Solve for x
    x = 48,716.41/243.36
  6. Step 6: Final answer
    x = 200.18

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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.