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Finding the Fourth Proportional to 189.86, 260.13 and 187.46

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Solution

The fourth proportional to 189.86, 260.13 and 187.46 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.86 : 260.13 = 187.46 : x
  2. Step 2: Convert to fraction form
    189.86/260.13 = 187.46/x
  3. Step 3: Cross multiply
    189.86x = 260.13 × 187.46
  4. Step 4: Simplify right side
    189.86x = 48,763.03
  5. Step 5: Solve for x
    x = 48,763.03/189.86
  6. Step 6: Final answer
    x = 256.84

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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.