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Finding the Fourth Proportional to 556.50, 835.12 and 267.96

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Solution

The fourth proportional to 556.50, 835.12 and 267.96 is: 402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.50 : 835.12 = 267.96 : x
  2. Step 2: Convert to fraction form
    556.50/835.12 = 267.96/x
  3. Step 3: Cross multiply
    556.50x = 835.12 × 267.96
  4. Step 4: Simplify right side
    556.50x = 223,778.76
  5. Step 5: Solve for x
    x = 223,778.76/556.50
  6. Step 6: Final answer
    x = 402.12

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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.