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Finding the Fourth Proportional to 301.56, 449.37 and 285

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Solution

The fourth proportional to 301.56, 449.37 and 285 is: 424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.56 : 449.37 = 285 : x
  2. Step 2: Convert to fraction form
    301.56/449.37 = 285/x
  3. Step 3: Cross multiply
    301.56x = 449.37 × 285
  4. Step 4: Simplify right side
    301.56x = 128,070.45
  5. Step 5: Solve for x
    x = 128,070.45/301.56
  6. Step 6: Final answer
    x = 424.69

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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.