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Finding the Fourth Proportional to 364.34, 545.28 and 255.80

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Solution

The fourth proportional to 364.34, 545.28 and 255.80 is: 382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.34 : 545.28 = 255.80 : x
  2. Step 2: Convert to fraction form
    364.34/545.28 = 255.80/x
  3. Step 3: Cross multiply
    364.34x = 545.28 × 255.80
  4. Step 4: Simplify right side
    364.34x = 139,479.90
  5. Step 5: Solve for x
    x = 139,479.90/364.34
  6. Step 6: Final answer
    x = 382.83

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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.