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Finding the Fourth Proportional to 360.30, 496.68 and 229.08

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Solution

The fourth proportional to 360.30, 496.68 and 229.08 is: 315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.30 : 496.68 = 229.08 : x
  2. Step 2: Convert to fraction form
    360.30/496.68 = 229.08/x
  3. Step 3: Cross multiply
    360.30x = 496.68 × 229.08
  4. Step 4: Simplify right side
    360.30x = 113,779.45
  5. Step 5: Solve for x
    x = 113,779.45/360.30
  6. Step 6: Final answer
    x = 315.79

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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.