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Finding the Fourth Proportional to 304.06, 453.05 and 285.46

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Solution

The fourth proportional to 304.06, 453.05 and 285.46 is: 425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.06 : 453.05 = 285.46 : x
  2. Step 2: Convert to fraction form
    304.06/453.05 = 285.46/x
  3. Step 3: Cross multiply
    304.06x = 453.05 × 285.46
  4. Step 4: Simplify right side
    304.06x = 129,327.65
  5. Step 5: Solve for x
    x = 129,327.65/304.06
  6. Step 6: Final answer
    x = 425.34

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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.