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Finding the Fourth Proportional to 360.62, 498.13 and 321.43

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Solution

The fourth proportional to 360.62, 498.13 and 321.43 is: 444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.62 : 498.13 = 321.43 : x
  2. Step 2: Convert to fraction form
    360.62/498.13 = 321.43/x
  3. Step 3: Cross multiply
    360.62x = 498.13 × 321.43
  4. Step 4: Simplify right side
    360.62x = 160,113.93
  5. Step 5: Solve for x
    x = 160,113.93/360.62
  6. Step 6: Final answer
    x = 444.00

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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.