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Finding the Fourth Proportional to 37.78, 56.64 and 25.59

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Solution

The fourth proportional to 37.78, 56.64 and 25.59 is: 38.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 56.64 = 25.59 : x
  2. Step 2: Convert to fraction form
    37.78/56.64 = 25.59/x
  3. Step 3: Cross multiply
    37.78x = 56.64 × 25.59
  4. Step 4: Simplify right side
    37.78x = 1,449.28
  5. Step 5: Solve for x
    x = 1,449.28/37.78
  6. Step 6: Final answer
    x = 38.36

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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.