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Finding the Fourth Proportional to 549.95, 824.91 and 165.20

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Solution

The fourth proportional to 549.95, 824.91 and 165.20 is: 247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.95 : 824.91 = 165.20 : x
  2. Step 2: Convert to fraction form
    549.95/824.91 = 165.20/x
  3. Step 3: Cross multiply
    549.95x = 824.91 × 165.20
  4. Step 4: Simplify right side
    549.95x = 136,271.01
  5. Step 5: Solve for x
    x = 136,271.01/549.95
  6. Step 6: Final answer
    x = 247.79

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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.