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Finding the Fourth Proportional to 360.70, 496.62 and 305.32

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Solution

The fourth proportional to 360.70, 496.62 and 305.32 is: 420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.70 : 496.62 = 305.32 : x
  2. Step 2: Convert to fraction form
    360.70/496.62 = 305.32/x
  3. Step 3: Cross multiply
    360.70x = 496.62 × 305.32
  4. Step 4: Simplify right side
    360.70x = 151,628.02
  5. Step 5: Solve for x
    x = 151,628.02/360.70
  6. Step 6: Final answer
    x = 420.37

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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.