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Finding the Fourth Proportional to 549.04, 823.92 and 260.80

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Solution

The fourth proportional to 549.04, 823.92 and 260.80 is: 391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.04 : 823.92 = 260.80 : x
  2. Step 2: Convert to fraction form
    549.04/823.92 = 260.80/x
  3. Step 3: Cross multiply
    549.04x = 823.92 × 260.80
  4. Step 4: Simplify right side
    549.04x = 214,878.34
  5. Step 5: Solve for x
    x = 214,878.34/549.04
  6. Step 6: Final answer
    x = 391.37

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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.