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Finding the Fourth Proportional to 194.40, 268.10 and 142.30

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Solution

The fourth proportional to 194.40, 268.10 and 142.30 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.40 : 268.10 = 142.30 : x
  2. Step 2: Convert to fraction form
    194.40/268.10 = 142.30/x
  3. Step 3: Cross multiply
    194.40x = 268.10 × 142.30
  4. Step 4: Simplify right side
    194.40x = 38,150.63
  5. Step 5: Solve for x
    x = 38,150.63/194.40
  6. Step 6: Final answer
    x = 196.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.