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Finding the Fourth Proportional to 304.62, 454.74 and 282.09

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Solution

The fourth proportional to 304.62, 454.74 and 282.09 is: 421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.62 : 454.74 = 282.09 : x
  2. Step 2: Convert to fraction form
    304.62/454.74 = 282.09/x
  3. Step 3: Cross multiply
    304.62x = 454.74 × 282.09
  4. Step 4: Simplify right side
    304.62x = 128,277.61
  5. Step 5: Solve for x
    x = 128,277.61/304.62
  6. Step 6: Final answer
    x = 421.11

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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.