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Finding the Fourth Proportional to 304.44, 454.08 and 287.62

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Solution

The fourth proportional to 304.44, 454.08 and 287.62 is: 428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.44 : 454.08 = 287.62 : x
  2. Step 2: Convert to fraction form
    304.44/454.08 = 287.62/x
  3. Step 3: Cross multiply
    304.44x = 454.08 × 287.62
  4. Step 4: Simplify right side
    304.44x = 130,602.49
  5. Step 5: Solve for x
    x = 130,602.49/304.44
  6. Step 6: Final answer
    x = 428.99

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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.