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Finding the Fourth Proportional to 189.95, 258.62 and 189.36

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Solution

The fourth proportional to 189.95, 258.62 and 189.36 is: 257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.95 : 258.62 = 189.36 : x
  2. Step 2: Convert to fraction form
    189.95/258.62 = 189.36/x
  3. Step 3: Cross multiply
    189.95x = 258.62 × 189.36
  4. Step 4: Simplify right side
    189.95x = 48,972.60
  5. Step 5: Solve for x
    x = 48,972.60/189.95
  6. Step 6: Final answer
    x = 257.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.