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Finding the Fourth Proportional to 543.21, 815.06 and 269.15

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Solution

The fourth proportional to 543.21, 815.06 and 269.15 is: 403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.21 : 815.06 = 269.15 : x
  2. Step 2: Convert to fraction form
    543.21/815.06 = 269.15/x
  3. Step 3: Cross multiply
    543.21x = 815.06 × 269.15
  4. Step 4: Simplify right side
    543.21x = 219,370.02
  5. Step 5: Solve for x
    x = 219,370.02/543.21
  6. Step 6: Final answer
    x = 403.84

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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.