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Finding the Fourth Proportional to 304.89, 457.33 and 285.45

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Solution

The fourth proportional to 304.89, 457.33 and 285.45 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.89 : 457.33 = 285.45 : x
  2. Step 2: Convert to fraction form
    304.89/457.33 = 285.45/x
  3. Step 3: Cross multiply
    304.89x = 457.33 × 285.45
  4. Step 4: Simplify right side
    304.89x = 130,544.85
  5. Step 5: Solve for x
    x = 130,544.85/304.89
  6. Step 6: Final answer
    x = 428.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.