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Finding the Fourth Proportional to 26.42, 36.23 and 26.15

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Solution

The fourth proportional to 26.42, 36.23 and 26.15 is: 35.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.42 : 36.23 = 26.15 : x
  2. Step 2: Convert to fraction form
    26.42/36.23 = 26.15/x
  3. Step 3: Cross multiply
    26.42x = 36.23 × 26.15
  4. Step 4: Simplify right side
    26.42x = 947.10
  5. Step 5: Solve for x
    x = 947.10/26.42
  6. Step 6: Final answer
    x = 35.85

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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.