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Finding the Fourth Proportional to 14.05, 19.40 and 12.00

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Solution

The fourth proportional to 14.05, 19.40 and 12.00 is: 16.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.05 : 19.40 = 12.00 : x
  2. Step 2: Convert to fraction form
    14.05/19.40 = 12.00/x
  3. Step 3: Cross multiply
    14.05x = 19.40 × 12.00
  4. Step 4: Simplify right side
    14.05x = 232.81
  5. Step 5: Solve for x
    x = 232.81/14.05
  6. Step 6: Final answer
    x = 16.57

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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.