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Finding the Fourth Proportional to 189.29, 260.83 and 186.77

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Solution

The fourth proportional to 189.29, 260.83 and 186.77 is: 257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.29 : 260.83 = 186.77 : x
  2. Step 2: Convert to fraction form
    189.29/260.83 = 186.77/x
  3. Step 3: Cross multiply
    189.29x = 260.83 × 186.77
  4. Step 4: Simplify right side
    189.29x = 48,715.22
  5. Step 5: Solve for x
    x = 48,715.22/189.29
  6. Step 6: Final answer
    x = 257.36

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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.