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Finding the Fourth Proportional to 549.20, 824.55 and 355.40

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Solution

The fourth proportional to 549.20, 824.55 and 355.40 is: 533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.20 : 824.55 = 355.40 : x
  2. Step 2: Convert to fraction form
    549.20/824.55 = 355.40/x
  3. Step 3: Cross multiply
    549.20x = 824.55 × 355.40
  4. Step 4: Simplify right side
    549.20x = 293,045.07
  5. Step 5: Solve for x
    x = 293,045.07/549.20
  6. Step 6: Final answer
    x = 533.59

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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.