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Finding the Fourth Proportional to 559.35, 838.83 and 267.18

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Solution

The fourth proportional to 559.35, 838.83 and 267.18 is: 400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.35 : 838.83 = 267.18 : x
  2. Step 2: Convert to fraction form
    559.35/838.83 = 267.18/x
  3. Step 3: Cross multiply
    559.35x = 838.83 × 267.18
  4. Step 4: Simplify right side
    559.35x = 224,120.83
  5. Step 5: Solve for x
    x = 224,120.83/559.35
  6. Step 6: Final answer
    x = 400.68

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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.