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Finding the Fourth Proportional to 549.15, 823.13 and 271.70

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Solution

The fourth proportional to 549.15, 823.13 and 271.70 is: 407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.15 : 823.13 = 271.70 : x
  2. Step 2: Convert to fraction form
    549.15/823.13 = 271.70/x
  3. Step 3: Cross multiply
    549.15x = 823.13 × 271.70
  4. Step 4: Simplify right side
    549.15x = 223,638.95
  5. Step 5: Solve for x
    x = 223,638.95/549.15
  6. Step 6: Final answer
    x = 407.25

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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.