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Finding the Fourth Proportional to 395.25, 545.50 and 285.09

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Solution

The fourth proportional to 395.25, 545.50 and 285.09 is: 393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.25 : 545.50 = 285.09 : x
  2. Step 2: Convert to fraction form
    395.25/545.50 = 285.09/x
  3. Step 3: Cross multiply
    395.25x = 545.50 × 285.09
  4. Step 4: Simplify right side
    395.25x = 155,514.52
  5. Step 5: Solve for x
    x = 155,514.52/395.25
  6. Step 6: Final answer
    x = 393.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.