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Finding the Fourth Proportional to 305.80, 455.81 and 303.41

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Solution

The fourth proportional to 305.80, 455.81 and 303.41 is: 452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.80 : 455.81 = 303.41 : x
  2. Step 2: Convert to fraction form
    305.80/455.81 = 303.41/x
  3. Step 3: Cross multiply
    305.80x = 455.81 × 303.41
  4. Step 4: Simplify right side
    305.80x = 138,295.79
  5. Step 5: Solve for x
    x = 138,295.79/305.80
  6. Step 6: Final answer
    x = 452.25

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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.