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Finding the Fourth Proportional to 302.64, 418.01 and 219.61

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Solution

The fourth proportional to 302.64, 418.01 and 219.61 is: 303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.64 : 418.01 = 219.61 : x
  2. Step 2: Convert to fraction form
    302.64/418.01 = 219.61/x
  3. Step 3: Cross multiply
    302.64x = 418.01 × 219.61
  4. Step 4: Simplify right side
    302.64x = 91,798.08
  5. Step 5: Solve for x
    x = 91,798.08/302.64
  6. Step 6: Final answer
    x = 303.33

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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.