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Finding the Fourth Proportional to 304.56, 454.07 and 296.73

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Solution

The fourth proportional to 304.56, 454.07 and 296.73 is: 442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.56 : 454.07 = 296.73 : x
  2. Step 2: Convert to fraction form
    304.56/454.07 = 296.73/x
  3. Step 3: Cross multiply
    304.56x = 454.07 × 296.73
  4. Step 4: Simplify right side
    304.56x = 134,736.93
  5. Step 5: Solve for x
    x = 134,736.93/304.56
  6. Step 6: Final answer
    x = 442.40

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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.