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Finding the Fourth Proportional to 37.38, 56.30 and 36.02

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Solution

The fourth proportional to 37.38, 56.30 and 36.02 is: 54.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.38 : 56.30 = 36.02 : x
  2. Step 2: Convert to fraction form
    37.38/56.30 = 36.02/x
  3. Step 3: Cross multiply
    37.38x = 56.30 × 36.02
  4. Step 4: Simplify right side
    37.38x = 2,027.93
  5. Step 5: Solve for x
    x = 2,027.93/37.38
  6. Step 6: Final answer
    x = 54.25

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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.