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Finding the Fourth Proportional to 243.16, 365.68 and 203.08

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Solution

The fourth proportional to 243.16, 365.68 and 203.08 is: 305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.16 : 365.68 = 203.08 : x
  2. Step 2: Convert to fraction form
    243.16/365.68 = 203.08/x
  3. Step 3: Cross multiply
    243.16x = 365.68 × 203.08
  4. Step 4: Simplify right side
    243.16x = 74,262.29
  5. Step 5: Solve for x
    x = 74,262.29/243.16
  6. Step 6: Final answer
    x = 305.41

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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.