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Finding the Fourth Proportional to 200.98, 277.37 and 118.18

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Solution

The fourth proportional to 200.98, 277.37 and 118.18 is: 163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.98 : 277.37 = 118.18 : x
  2. Step 2: Convert to fraction form
    200.98/277.37 = 118.18/x
  3. Step 3: Cross multiply
    200.98x = 277.37 × 118.18
  4. Step 4: Simplify right side
    200.98x = 32,779.00
  5. Step 5: Solve for x
    x = 32,779.00/200.98
  6. Step 6: Final answer
    x = 163.10

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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.