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Finding the Fourth Proportional to 193.58, 289.27 and 139.58

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Solution

The fourth proportional to 193.58, 289.27 and 139.58 is: 208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.58 : 289.27 = 139.58 : x
  2. Step 2: Convert to fraction form
    193.58/289.27 = 139.58/x
  3. Step 3: Cross multiply
    193.58x = 289.27 × 139.58
  4. Step 4: Simplify right side
    193.58x = 40,374.51
  5. Step 5: Solve for x
    x = 40,374.51/193.58
  6. Step 6: Final answer
    x = 208.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.