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Finding the Fourth Proportional to 543.25, 815.10 and 254.89

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Solution

The fourth proportional to 543.25, 815.10 and 254.89 is: 382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.25 : 815.10 = 254.89 : x
  2. Step 2: Convert to fraction form
    543.25/815.10 = 254.89/x
  3. Step 3: Cross multiply
    543.25x = 815.10 × 254.89
  4. Step 4: Simplify right side
    543.25x = 207,760.84
  5. Step 5: Solve for x
    x = 207,760.84/543.25
  6. Step 6: Final answer
    x = 382.44

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Similar ratio
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1.5x scale

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.