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Finding the Fourth Proportional to 26.60, 36.76 and 21.14

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Solution

The fourth proportional to 26.60, 36.76 and 21.14 is: 29.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.60 : 36.76 = 21.14 : x
  2. Step 2: Convert to fraction form
    26.60/36.76 = 21.14/x
  3. Step 3: Cross multiply
    26.60x = 36.76 × 21.14
  4. Step 4: Simplify right side
    26.60x = 776.92
  5. Step 5: Solve for x
    x = 776.92/26.60
  6. Step 6: Final answer
    x = 29.21

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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.