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Finding the Fourth Proportional to 26.02, 35.81 and 21.98

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Solution

The fourth proportional to 26.02, 35.81 and 21.98 is: 30.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.02 : 35.81 = 21.98 : x
  2. Step 2: Convert to fraction form
    26.02/35.81 = 21.98/x
  3. Step 3: Cross multiply
    26.02x = 35.81 × 21.98
  4. Step 4: Simplify right side
    26.02x = 787.10
  5. Step 5: Solve for x
    x = 787.10/26.02
  6. Step 6: Final answer
    x = 30.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.