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Finding the Fourth Proportional to 305.64, 420.84 and 268.56

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Solution

The fourth proportional to 305.64, 420.84 and 268.56 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 420.84 = 268.56 : x
  2. Step 2: Convert to fraction form
    305.64/420.84 = 268.56/x
  3. Step 3: Cross multiply
    305.64x = 420.84 × 268.56
  4. Step 4: Simplify right side
    305.64x = 113,020.79
  5. Step 5: Solve for x
    x = 113,020.79/305.64
  6. Step 6: Final answer
    x = 369.78

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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.