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Finding the Fourth Proportional to 200.88, 277.16 and 118

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Solution

The fourth proportional to 200.88, 277.16 and 118 is: 162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 277.16 = 118 : x
  2. Step 2: Convert to fraction form
    200.88/277.16 = 118/x
  3. Step 3: Cross multiply
    200.88x = 277.16 × 118
  4. Step 4: Simplify right side
    200.88x = 32,704.88
  5. Step 5: Solve for x
    x = 32,704.88/200.88
  6. Step 6: Final answer
    x = 162.81

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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.