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Finding the Fourth Proportional to 201.58, 277.88 and 135.98

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Solution

The fourth proportional to 201.58, 277.88 and 135.98 is: 187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 277.88 = 135.98 : x
  2. Step 2: Convert to fraction form
    201.58/277.88 = 135.98/x
  3. Step 3: Cross multiply
    201.58x = 277.88 × 135.98
  4. Step 4: Simplify right side
    201.58x = 37,786.12
  5. Step 5: Solve for x
    x = 37,786.12/201.58
  6. Step 6: Final answer
    x = 187.45

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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.