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Finding the Fourth Proportional to 243.65, 336.03 and 202.13

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Solution

The fourth proportional to 243.65, 336.03 and 202.13 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.65 : 336.03 = 202.13 : x
  2. Step 2: Convert to fraction form
    243.65/336.03 = 202.13/x
  3. Step 3: Cross multiply
    243.65x = 336.03 × 202.13
  4. Step 4: Simplify right side
    243.65x = 67,920.06
  5. Step 5: Solve for x
    x = 67,920.06/243.65
  6. Step 6: Final answer
    x = 278.77

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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.