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Finding the Fourth Proportional to 549.24, 822.30 and 301.80

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Solution

The fourth proportional to 549.24, 822.30 and 301.80 is: 451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 822.30 = 301.80 : x
  2. Step 2: Convert to fraction form
    549.24/822.30 = 301.80/x
  3. Step 3: Cross multiply
    549.24x = 822.30 × 301.80
  4. Step 4: Simplify right side
    549.24x = 248,170.14
  5. Step 5: Solve for x
    x = 248,170.14/549.24
  6. Step 6: Final answer
    x = 451.84

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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.