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Finding the Fourth Proportional to 28.14, 42.16 and 21.40

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Solution

The fourth proportional to 28.14, 42.16 and 21.40 is: 32.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.14 : 42.16 = 21.40 : x
  2. Step 2: Convert to fraction form
    28.14/42.16 = 21.40/x
  3. Step 3: Cross multiply
    28.14x = 42.16 × 21.40
  4. Step 4: Simplify right side
    28.14x = 902.22
  5. Step 5: Solve for x
    x = 902.22/28.14
  6. Step 6: Final answer
    x = 32.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.