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Finding the Fourth Proportional to 305.66, 457.47 and 254.41

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Solution

The fourth proportional to 305.66, 457.47 and 254.41 is: 380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.66 : 457.47 = 254.41 : x
  2. Step 2: Convert to fraction form
    305.66/457.47 = 254.41/x
  3. Step 3: Cross multiply
    305.66x = 457.47 × 254.41
  4. Step 4: Simplify right side
    305.66x = 116,383.80
  5. Step 5: Solve for x
    x = 116,383.80/305.66
  6. Step 6: Final answer
    x = 380.76

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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.