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Finding the Fourth Proportional to 189.94, 260.59 and 180.76

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Solution

The fourth proportional to 189.94, 260.59 and 180.76 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.94 : 260.59 = 180.76 : x
  2. Step 2: Convert to fraction form
    189.94/260.59 = 180.76/x
  3. Step 3: Cross multiply
    189.94x = 260.59 × 180.76
  4. Step 4: Simplify right side
    189.94x = 47,104.25
  5. Step 5: Solve for x
    x = 47,104.25/189.94
  6. Step 6: Final answer
    x = 248.00

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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.