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Finding the Fourth Proportional to 325.93, 488.92 and 120.45

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Solution

The fourth proportional to 325.93, 488.92 and 120.45 is: 180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.93 : 488.92 = 120.45 : x
  2. Step 2: Convert to fraction form
    325.93/488.92 = 120.45/x
  3. Step 3: Cross multiply
    325.93x = 488.92 × 120.45
  4. Step 4: Simplify right side
    325.93x = 58,890.41
  5. Step 5: Solve for x
    x = 58,890.41/325.93
  6. Step 6: Final answer
    x = 180.68

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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.