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Finding the Fourth Proportional to 543.98, 815.40 and 280.08

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Solution

The fourth proportional to 543.98, 815.40 and 280.08 is: 419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.98 : 815.40 = 280.08 : x
  2. Step 2: Convert to fraction form
    543.98/815.40 = 280.08/x
  3. Step 3: Cross multiply
    543.98x = 815.40 × 280.08
  4. Step 4: Simplify right side
    543.98x = 228,377.23
  5. Step 5: Solve for x
    x = 228,377.23/543.98
  6. Step 6: Final answer
    x = 419.82

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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.