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Finding the Fourth Proportional to 360.86, 538.25 and 321.98

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Solution

The fourth proportional to 360.86, 538.25 and 321.98 is: 480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.86 : 538.25 = 321.98 : x
  2. Step 2: Convert to fraction form
    360.86/538.25 = 321.98/x
  3. Step 3: Cross multiply
    360.86x = 538.25 × 321.98
  4. Step 4: Simplify right side
    360.86x = 173,301.43
  5. Step 5: Solve for x
    x = 173,301.43/360.86
  6. Step 6: Final answer
    x = 480.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.