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Finding the Fourth Proportional to 360.00, 496.23 and 301.18

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Solution

The fourth proportional to 360.00, 496.23 and 301.18 is: 415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.00 : 496.23 = 301.18 : x
  2. Step 2: Convert to fraction form
    360.00/496.23 = 301.18/x
  3. Step 3: Cross multiply
    360.00x = 496.23 × 301.18
  4. Step 4: Simplify right side
    360.00x = 149,454.55
  5. Step 5: Solve for x
    x = 149,454.55/360.00
  6. Step 6: Final answer
    x = 415.16

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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.