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Finding the Fourth Proportional to 360.22, 540.58 and 198.02

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Solution

The fourth proportional to 360.22, 540.58 and 198.02 is: 297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.22 : 540.58 = 198.02 : x
  2. Step 2: Convert to fraction form
    360.22/540.58 = 198.02/x
  3. Step 3: Cross multiply
    360.22x = 540.58 × 198.02
  4. Step 4: Simplify right side
    360.22x = 107,045.65
  5. Step 5: Solve for x
    x = 107,045.65/360.22
  6. Step 6: Final answer
    x = 297.17

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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.