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Finding the Fourth Proportional to 194.01, 289.73 and 183.48

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Solution

The fourth proportional to 194.01, 289.73 and 183.48 is: 274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.01 : 289.73 = 183.48 : x
  2. Step 2: Convert to fraction form
    194.01/289.73 = 183.48/x
  3. Step 3: Cross multiply
    194.01x = 289.73 × 183.48
  4. Step 4: Simplify right side
    194.01x = 53,159.66
  5. Step 5: Solve for x
    x = 53,159.66/194.01
  6. Step 6: Final answer
    x = 274.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.