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Finding the Fourth Proportional to 613.21, 919.59 and 223.11

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Solution

The fourth proportional to 613.21, 919.59 and 223.11 is: 334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.21 : 919.59 = 223.11 : x
  2. Step 2: Convert to fraction form
    613.21/919.59 = 223.11/x
  3. Step 3: Cross multiply
    613.21x = 919.59 × 223.11
  4. Step 4: Simplify right side
    613.21x = 205,169.72
  5. Step 5: Solve for x
    x = 205,169.72/613.21
  6. Step 6: Final answer
    x = 334.58

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1.5x scale

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.