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Finding the Fourth Proportional to 360.19, 496.71 and 218.37

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Solution

The fourth proportional to 360.19, 496.71 and 218.37 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.19 : 496.71 = 218.37 : x
  2. Step 2: Convert to fraction form
    360.19/496.71 = 218.37/x
  3. Step 3: Cross multiply
    360.19x = 496.71 × 218.37
  4. Step 4: Simplify right side
    360.19x = 108,464.63
  5. Step 5: Solve for x
    x = 108,464.63/360.19
  6. Step 6: Final answer
    x = 301.13

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1.5x scale

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.