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Finding the Fourth Proportional to 548.19, 820.76 and 365.33

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Solution

The fourth proportional to 548.19, 820.76 and 365.33 is: 546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.19 : 820.76 = 365.33 : x
  2. Step 2: Convert to fraction form
    548.19/820.76 = 365.33/x
  3. Step 3: Cross multiply
    548.19x = 820.76 × 365.33
  4. Step 4: Simplify right side
    548.19x = 299,842.32
  5. Step 5: Solve for x
    x = 299,842.32/548.19
  6. Step 6: Final answer
    x = 546.97

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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.