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Finding the Fourth Proportional to 305.49, 454.98 and 294.73

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Solution

The fourth proportional to 305.49, 454.98 and 294.73 is: 438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.49 : 454.98 = 294.73 : x
  2. Step 2: Convert to fraction form
    305.49/454.98 = 294.73/x
  3. Step 3: Cross multiply
    305.49x = 454.98 × 294.73
  4. Step 4: Simplify right side
    305.49x = 134,096.26
  5. Step 5: Solve for x
    x = 134,096.26/305.49
  6. Step 6: Final answer
    x = 438.95

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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.