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Finding the Fourth Proportional to 202.40, 279.36 and 144

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Solution

The fourth proportional to 202.40, 279.36 and 144 is: 198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 279.36 = 144 : x
  2. Step 2: Convert to fraction form
    202.40/279.36 = 144/x
  3. Step 3: Cross multiply
    202.40x = 279.36 × 144
  4. Step 4: Simplify right side
    202.40x = 40,227.84
  5. Step 5: Solve for x
    x = 40,227.84/202.40
  6. Step 6: Final answer
    x = 198.75

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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.