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Finding the Fourth Proportional to 37.78, 56.96 and 34.54

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Solution

The fourth proportional to 37.78, 56.96 and 34.54 is: 52.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 56.96 = 34.54 : x
  2. Step 2: Convert to fraction form
    37.78/56.96 = 34.54/x
  3. Step 3: Cross multiply
    37.78x = 56.96 × 34.54
  4. Step 4: Simplify right side
    37.78x = 1,967.40
  5. Step 5: Solve for x
    x = 1,967.40/37.78
  6. Step 6: Final answer
    x = 52.08

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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.