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Finding the Fourth Proportional to 189.40, 260.62 and 171

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Solution

The fourth proportional to 189.40, 260.62 and 171 is: 235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.40 : 260.62 = 171 : x
  2. Step 2: Convert to fraction form
    189.40/260.62 = 171/x
  3. Step 3: Cross multiply
    189.40x = 260.62 × 171
  4. Step 4: Simplify right side
    189.40x = 44,566.02
  5. Step 5: Solve for x
    x = 44,566.02/189.40
  6. Step 6: Final answer
    x = 235.30

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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.