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Finding the Fourth Proportional to 57.07, 78.70 and 37.41

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Solution

The fourth proportional to 57.07, 78.70 and 37.41 is: 51.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.07 : 78.70 = 37.41 : x
  2. Step 2: Convert to fraction form
    57.07/78.70 = 37.41/x
  3. Step 3: Cross multiply
    57.07x = 78.70 × 37.41
  4. Step 4: Simplify right side
    57.07x = 2,944.17
  5. Step 5: Solve for x
    x = 2,944.17/57.07
  6. Step 6: Final answer
    x = 51.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.