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Finding the Fourth Proportional to 14.30, 18.97 and 14.30

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Solution

The fourth proportional to 14.30, 18.97 and 14.30 is: 18.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.30 : 18.97 = 14.30 : x
  2. Step 2: Convert to fraction form
    14.30/18.97 = 14.30/x
  3. Step 3: Cross multiply
    14.30x = 18.97 × 14.30
  4. Step 4: Simplify right side
    14.30x = 271.20
  5. Step 5: Solve for x
    x = 271.20/14.30
  6. Step 6: Final answer
    x = 18.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.