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Finding the Fourth Proportional to 304.20, 418.50 and 252.36

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Solution

The fourth proportional to 304.20, 418.50 and 252.36 is: 347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.20 : 418.50 = 252.36 : x
  2. Step 2: Convert to fraction form
    304.20/418.50 = 252.36/x
  3. Step 3: Cross multiply
    304.20x = 418.50 × 252.36
  4. Step 4: Simplify right side
    304.20x = 105,612.66
  5. Step 5: Solve for x
    x = 105,612.66/304.20
  6. Step 6: Final answer
    x = 347.18

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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.