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Finding the Fourth Proportional to 25.48, 38.45 and 25.20

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Solution

The fourth proportional to 25.48, 38.45 and 25.20 is: 38.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.48 : 38.45 = 25.20 : x
  2. Step 2: Convert to fraction form
    25.48/38.45 = 25.20/x
  3. Step 3: Cross multiply
    25.48x = 38.45 × 25.20
  4. Step 4: Simplify right side
    25.48x = 968.94
  5. Step 5: Solve for x
    x = 968.94/25.48
  6. Step 6: Final answer
    x = 38.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.