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Finding the Fourth Proportional to 57.54, 79.38 and 35.67

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Solution

The fourth proportional to 57.54, 79.38 and 35.67 is: 49.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.54 : 79.38 = 35.67 : x
  2. Step 2: Convert to fraction form
    57.54/79.38 = 35.67/x
  3. Step 3: Cross multiply
    57.54x = 79.38 × 35.67
  4. Step 4: Simplify right side
    57.54x = 2,831.48
  5. Step 5: Solve for x
    x = 2,831.48/57.54
  6. Step 6: Final answer
    x = 49.21

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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.