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Finding the Fourth Proportional to 395.34, 545.58 and 218.31

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Solution

The fourth proportional to 395.34, 545.58 and 218.31 is: 301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.34 : 545.58 = 218.31 : x
  2. Step 2: Convert to fraction form
    395.34/545.58 = 218.31/x
  3. Step 3: Cross multiply
    395.34x = 545.58 × 218.31
  4. Step 4: Simplify right side
    395.34x = 119,106.93
  5. Step 5: Solve for x
    x = 119,106.93/395.34
  6. Step 6: Final answer
    x = 301.28

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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.