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Finding the Fourth Proportional to 386.37, 579.57 and 97.81

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Solution

The fourth proportional to 386.37, 579.57 and 97.81 is: 146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.37 : 579.57 = 97.81 : x
  2. Step 2: Convert to fraction form
    386.37/579.57 = 97.81/x
  3. Step 3: Cross multiply
    386.37x = 579.57 × 97.81
  4. Step 4: Simplify right side
    386.37x = 56,685.93
  5. Step 5: Solve for x
    x = 56,685.93/386.37
  6. Step 6: Final answer
    x = 146.71

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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.