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Finding the Fourth Proportional to 14.84, 20.29 and 14.28

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Solution

The fourth proportional to 14.84, 20.29 and 14.28 is: 19.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.84 : 20.29 = 14.28 : x
  2. Step 2: Convert to fraction form
    14.84/20.29 = 14.28/x
  3. Step 3: Cross multiply
    14.84x = 20.29 × 14.28
  4. Step 4: Simplify right side
    14.84x = 289.74
  5. Step 5: Solve for x
    x = 289.74/14.84
  6. Step 6: Final answer
    x = 19.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.