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Finding the Fourth Proportional to 26.40, 36.78 and 26.40

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Solution

The fourth proportional to 26.40, 36.78 and 26.40 is: 36.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.40 : 36.78 = 26.40 : x
  2. Step 2: Convert to fraction form
    26.40/36.78 = 26.40/x
  3. Step 3: Cross multiply
    26.40x = 36.78 × 26.40
  4. Step 4: Simplify right side
    26.40x = 970.99
  5. Step 5: Solve for x
    x = 970.99/26.40
  6. Step 6: Final answer
    x = 36.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.