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Finding the Fourth Proportional to 25, 37.25 and 23.80

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Solution

The fourth proportional to 25, 37.25 and 23.80 is: 35.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25 : 37.25 = 23.80 : x
  2. Step 2: Convert to fraction form
    25/37.25 = 23.80/x
  3. Step 3: Cross multiply
    25x = 37.25 × 23.80
  4. Step 4: Simplify right side
    25x = 886.55
  5. Step 5: Solve for x
    x = 886.55/25
  6. Step 6: Final answer
    x = 35.46

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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.