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Finding the Fourth Proportional to 225.06, 335.52 and 207.78

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Solution

The fourth proportional to 225.06, 335.52 and 207.78 is: 309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.06 : 335.52 = 207.78 : x
  2. Step 2: Convert to fraction form
    225.06/335.52 = 207.78/x
  3. Step 3: Cross multiply
    225.06x = 335.52 × 207.78
  4. Step 4: Simplify right side
    225.06x = 69,714.35
  5. Step 5: Solve for x
    x = 69,714.35/225.06
  6. Step 6: Final answer
    x = 309.76

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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.