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Finding the Fourth Proportional to 14.29, 19.71 and 11.06

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Solution

The fourth proportional to 14.29, 19.71 and 11.06 is: 15.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.29 : 19.71 = 11.06 : x
  2. Step 2: Convert to fraction form
    14.29/19.71 = 11.06/x
  3. Step 3: Cross multiply
    14.29x = 19.71 × 11.06
  4. Step 4: Simplify right side
    14.29x = 217.99
  5. Step 5: Solve for x
    x = 217.99/14.29
  6. Step 6: Final answer
    x = 15.26

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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.