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Finding the Fourth Proportional to 395.18, 545.33 and 264.09

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Solution

The fourth proportional to 395.18, 545.33 and 264.09 is: 364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.18 : 545.33 = 264.09 : x
  2. Step 2: Convert to fraction form
    395.18/545.33 = 264.09/x
  3. Step 3: Cross multiply
    395.18x = 545.33 × 264.09
  4. Step 4: Simplify right side
    395.18x = 144,018.90
  5. Step 5: Solve for x
    x = 144,018.90/395.18
  6. Step 6: Final answer
    x = 364.44

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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.