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Finding the Fourth Proportional to 243.06, 363.95 and 202.35

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Solution

The fourth proportional to 243.06, 363.95 and 202.35 is: 302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.06 : 363.95 = 202.35 : x
  2. Step 2: Convert to fraction form
    243.06/363.95 = 202.35/x
  3. Step 3: Cross multiply
    243.06x = 363.95 × 202.35
  4. Step 4: Simplify right side
    243.06x = 73,645.28
  5. Step 5: Solve for x
    x = 73,645.28/243.06
  6. Step 6: Final answer
    x = 302.99

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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.