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Finding the Fourth Proportional to 304.88, 454.42 and 287.12

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Solution

The fourth proportional to 304.88, 454.42 and 287.12 is: 427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.88 : 454.42 = 287.12 : x
  2. Step 2: Convert to fraction form
    304.88/454.42 = 287.12/x
  3. Step 3: Cross multiply
    304.88x = 454.42 × 287.12
  4. Step 4: Simplify right side
    304.88x = 130,473.49
  5. Step 5: Solve for x
    x = 130,473.49/304.88
  6. Step 6: Final answer
    x = 427.96

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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.