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Finding the Fourth Proportional to 364.20, 545.46 and 268.20

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Solution

The fourth proportional to 364.20, 545.46 and 268.20 is: 401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.20 : 545.46 = 268.20 : x
  2. Step 2: Convert to fraction form
    364.20/545.46 = 268.20/x
  3. Step 3: Cross multiply
    364.20x = 545.46 × 268.20
  4. Step 4: Simplify right side
    364.20x = 146,292.37
  5. Step 5: Solve for x
    x = 146,292.37/364.20
  6. Step 6: Final answer
    x = 401.68

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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.