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Finding the Fourth Proportional to 549.85, 824.28 and 241.46

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Solution

The fourth proportional to 549.85, 824.28 and 241.46 is: 361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.85 : 824.28 = 241.46 : x
  2. Step 2: Convert to fraction form
    549.85/824.28 = 241.46/x
  3. Step 3: Cross multiply
    549.85x = 824.28 × 241.46
  4. Step 4: Simplify right side
    549.85x = 199,032.71
  5. Step 5: Solve for x
    x = 199,032.71/549.85
  6. Step 6: Final answer
    x = 361.98

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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.