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Finding the Fourth Proportional to 14.04, 19.31 and 13.66

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Solution

The fourth proportional to 14.04, 19.31 and 13.66 is: 18.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.04 : 19.31 = 13.66 : x
  2. Step 2: Convert to fraction form
    14.04/19.31 = 13.66/x
  3. Step 3: Cross multiply
    14.04x = 19.31 × 13.66
  4. Step 4: Simplify right side
    14.04x = 263.77
  5. Step 5: Solve for x
    x = 263.77/14.04
  6. Step 6: Final answer
    x = 18.79

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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.