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Finding the Fourth Proportional to 189.41, 263.23 and 187.20

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Solution

The fourth proportional to 189.41, 263.23 and 187.20 is: 260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.41 : 263.23 = 187.20 : x
  2. Step 2: Convert to fraction form
    189.41/263.23 = 187.20/x
  3. Step 3: Cross multiply
    189.41x = 263.23 × 187.20
  4. Step 4: Simplify right side
    189.41x = 49,276.19
  5. Step 5: Solve for x
    x = 49,276.19/189.41
  6. Step 6: Final answer
    x = 260.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.