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Finding the Fourth Proportional to 194.04, 288.86 and 193.01

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Solution

The fourth proportional to 194.04, 288.86 and 193.01 is: 287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.04 : 288.86 = 193.01 : x
  2. Step 2: Convert to fraction form
    194.04/288.86 = 193.01/x
  3. Step 3: Cross multiply
    194.04x = 288.86 × 193.01
  4. Step 4: Simplify right side
    194.04x = 55,753.17
  5. Step 5: Solve for x
    x = 55,753.17/194.04
  6. Step 6: Final answer
    x = 287.33

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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.