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Finding the Fourth Proportional to 303.84, 418.88 and 251.20

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Solution

The fourth proportional to 303.84, 418.88 and 251.20 is: 346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.84 : 418.88 = 251.20 : x
  2. Step 2: Convert to fraction form
    303.84/418.88 = 251.20/x
  3. Step 3: Cross multiply
    303.84x = 418.88 × 251.20
  4. Step 4: Simplify right side
    303.84x = 105,222.66
  5. Step 5: Solve for x
    x = 105,222.66/303.84
  6. Step 6: Final answer
    x = 346.31

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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.