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Finding the Fourth Proportional to 189.32, 259.56 and 185.67

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Solution

The fourth proportional to 189.32, 259.56 and 185.67 is: 254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 259.56 = 185.67 : x
  2. Step 2: Convert to fraction form
    189.32/259.56 = 185.67/x
  3. Step 3: Cross multiply
    189.32x = 259.56 × 185.67
  4. Step 4: Simplify right side
    189.32x = 48,192.51
  5. Step 5: Solve for x
    x = 48,192.51/189.32
  6. Step 6: Final answer
    x = 254.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.