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Finding the Fourth Proportional to 395.03, 545.15 and 218.00

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Solution

The fourth proportional to 395.03, 545.15 and 218.00 is: 300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.03 : 545.15 = 218.00 : x
  2. Step 2: Convert to fraction form
    395.03/545.15 = 218.00/x
  3. Step 3: Cross multiply
    395.03x = 545.15 × 218.00
  4. Step 4: Simplify right side
    395.03x = 118,839.97
  5. Step 5: Solve for x
    x = 118,839.97/395.03
  6. Step 6: Final answer
    x = 300.84

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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.