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Finding the Fourth Proportional to 26, 38.80 and 24.96

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Solution

The fourth proportional to 26, 38.80 and 24.96 is: 37.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 38.80 = 24.96 : x
  2. Step 2: Convert to fraction form
    26/38.80 = 24.96/x
  3. Step 3: Cross multiply
    26x = 38.80 × 24.96
  4. Step 4: Simplify right side
    26x = 968.45
  5. Step 5: Solve for x
    x = 968.45/26
  6. Step 6: Final answer
    x = 37.25

Related Problems

Find fourth proportional to 13, 19.40 and 12.48
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.