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Finding the Fourth Proportional to 550.23, 824.23 and 272.15

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Solution

The fourth proportional to 550.23, 824.23 and 272.15 is: 407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.23 : 824.23 = 272.15 : x
  2. Step 2: Convert to fraction form
    550.23/824.23 = 272.15/x
  3. Step 3: Cross multiply
    550.23x = 824.23 × 272.15
  4. Step 4: Simplify right side
    550.23x = 224,314.19
  5. Step 5: Solve for x
    x = 224,314.19/550.23
  6. Step 6: Final answer
    x = 407.67

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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.