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Finding the Fourth Proportional to 189.10, 262.05 and 185.45

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Solution

The fourth proportional to 189.10, 262.05 and 185.45 is: 256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.10 : 262.05 = 185.45 : x
  2. Step 2: Convert to fraction form
    189.10/262.05 = 185.45/x
  3. Step 3: Cross multiply
    189.10x = 262.05 × 185.45
  4. Step 4: Simplify right side
    189.10x = 48,597.17
  5. Step 5: Solve for x
    x = 48,597.17/189.10
  6. Step 6: Final answer
    x = 256.99

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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.