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Finding the Fourth Proportional to 304.21, 454.71 and 296.92

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Solution

The fourth proportional to 304.21, 454.71 and 296.92 is: 443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.21 : 454.71 = 296.92 : x
  2. Step 2: Convert to fraction form
    304.21/454.71 = 296.92/x
  3. Step 3: Cross multiply
    304.21x = 454.71 × 296.92
  4. Step 4: Simplify right side
    304.21x = 135,011.62
  5. Step 5: Solve for x
    x = 135,011.62/304.21
  6. Step 6: Final answer
    x = 443.82

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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.