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Finding the Fourth Proportional to 27.19, 40.73 and 25.45

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Solution

The fourth proportional to 27.19, 40.73 and 25.45 is: 38.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.19 : 40.73 = 25.45 : x
  2. Step 2: Convert to fraction form
    27.19/40.73 = 25.45/x
  3. Step 3: Cross multiply
    27.19x = 40.73 × 25.45
  4. Step 4: Simplify right side
    27.19x = 1,036.25
  5. Step 5: Solve for x
    x = 1,036.25/27.19
  6. Step 6: Final answer
    x = 38.12

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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.