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Finding the Fourth Proportional to 386.41, 579.60 and 97.85

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Solution

The fourth proportional to 386.41, 579.60 and 97.85 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.41 : 579.60 = 97.85 : x
  2. Step 2: Convert to fraction form
    386.41/579.60 = 97.85/x
  3. Step 3: Cross multiply
    386.41x = 579.60 × 97.85
  4. Step 4: Simplify right side
    386.41x = 56,713.86
  5. Step 5: Solve for x
    x = 56,713.86/386.41
  6. Step 6: Final answer
    x = 146.77

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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.