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Finding the Fourth Proportional to 185.37, 277.54 and 139.58

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Solution

The fourth proportional to 185.37, 277.54 and 139.58 is: 208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.37 : 277.54 = 139.58 : x
  2. Step 2: Convert to fraction form
    185.37/277.54 = 139.58/x
  3. Step 3: Cross multiply
    185.37x = 277.54 × 139.58
  4. Step 4: Simplify right side
    185.37x = 38,739.03
  5. Step 5: Solve for x
    x = 38,739.03/185.37
  6. Step 6: Final answer
    x = 208.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.