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Finding the Fourth Proportional to 407.78, 612.25 and 268.99

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Solution

The fourth proportional to 407.78, 612.25 and 268.99 is: 403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.78 : 612.25 = 268.99 : x
  2. Step 2: Convert to fraction form
    407.78/612.25 = 268.99/x
  3. Step 3: Cross multiply
    407.78x = 612.25 × 268.99
  4. Step 4: Simplify right side
    407.78x = 164,687.84
  5. Step 5: Solve for x
    x = 164,687.84/407.78
  6. Step 6: Final answer
    x = 403.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.