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Finding the Fourth Proportional to 360.70, 498.09 and 229.75

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Solution

The fourth proportional to 360.70, 498.09 and 229.75 is: 317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.70 : 498.09 = 229.75 : x
  2. Step 2: Convert to fraction form
    360.70/498.09 = 229.75/x
  3. Step 3: Cross multiply
    360.70x = 498.09 × 229.75
  4. Step 4: Simplify right side
    360.70x = 114,436.18
  5. Step 5: Solve for x
    x = 114,436.18/360.70
  6. Step 6: Final answer
    x = 317.26

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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.