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Finding the Fourth Proportional to 26.42, 39.65 and 21.30

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Solution

The fourth proportional to 26.42, 39.65 and 21.30 is: 31.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.42 : 39.65 = 21.30 : x
  2. Step 2: Convert to fraction form
    26.42/39.65 = 21.30/x
  3. Step 3: Cross multiply
    26.42x = 39.65 × 21.30
  4. Step 4: Simplify right side
    26.42x = 844.55
  5. Step 5: Solve for x
    x = 844.55/26.42
  6. Step 6: Final answer
    x = 31.97

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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.