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Finding the Fourth Proportional to 194.30, 268.06 and 157.40

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Solution

The fourth proportional to 194.30, 268.06 and 157.40 is: 217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.30 : 268.06 = 157.40 : x
  2. Step 2: Convert to fraction form
    194.30/268.06 = 157.40/x
  3. Step 3: Cross multiply
    194.30x = 268.06 × 157.40
  4. Step 4: Simplify right side
    194.30x = 42,192.64
  5. Step 5: Solve for x
    x = 42,192.64/194.30
  6. Step 6: Final answer
    x = 217.15

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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.