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Finding the Fourth Proportional to 253.08, 377.73 and 218.22

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Solution

The fourth proportional to 253.08, 377.73 and 218.22 is: 325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.08 : 377.73 = 218.22 : x
  2. Step 2: Convert to fraction form
    253.08/377.73 = 218.22/x
  3. Step 3: Cross multiply
    253.08x = 377.73 × 218.22
  4. Step 4: Simplify right side
    253.08x = 82,426.82
  5. Step 5: Solve for x
    x = 82,426.82/253.08
  6. Step 6: Final answer
    x = 325.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.