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Finding the Fourth Proportional to 189.90, 260.18 and 182.98

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Solution

The fourth proportional to 189.90, 260.18 and 182.98 is: 250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.90 : 260.18 = 182.98 : x
  2. Step 2: Convert to fraction form
    189.90/260.18 = 182.98/x
  3. Step 3: Cross multiply
    189.90x = 260.18 × 182.98
  4. Step 4: Simplify right side
    189.90x = 47,607.74
  5. Step 5: Solve for x
    x = 47,607.74/189.90
  6. Step 6: Final answer
    x = 250.70

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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.