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Finding the Fourth Proportional to 549.39, 824.28 and 257.03

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Solution

The fourth proportional to 549.39, 824.28 and 257.03 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.39 : 824.28 = 257.03 : x
  2. Step 2: Convert to fraction form
    549.39/824.28 = 257.03/x
  3. Step 3: Cross multiply
    549.39x = 824.28 × 257.03
  4. Step 4: Simplify right side
    549.39x = 211,860.57
  5. Step 5: Solve for x
    x = 211,860.57/549.39
  6. Step 6: Final answer
    x = 385.63

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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.