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Finding the Fourth Proportional to 183.98, 276.20 and 135.22

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Solution

The fourth proportional to 183.98, 276.20 and 135.22 is: 203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.98 : 276.20 = 135.22 : x
  2. Step 2: Convert to fraction form
    183.98/276.20 = 135.22/x
  3. Step 3: Cross multiply
    183.98x = 276.20 × 135.22
  4. Step 4: Simplify right side
    183.98x = 37,347.76
  5. Step 5: Solve for x
    x = 37,347.76/183.98
  6. Step 6: Final answer
    x = 203.00

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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.