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Finding the Fourth Proportional to 240.28, 360.42 and 202.12

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Solution

The fourth proportional to 240.28, 360.42 and 202.12 is: 303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.28 : 360.42 = 202.12 : x
  2. Step 2: Convert to fraction form
    240.28/360.42 = 202.12/x
  3. Step 3: Cross multiply
    240.28x = 360.42 × 202.12
  4. Step 4: Simplify right side
    240.28x = 72,848.09
  5. Step 5: Solve for x
    x = 72,848.09/240.28
  6. Step 6: Final answer
    x = 303.18

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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.