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Finding the Fourth Proportional to 613.09, 919.35 and 180.13

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Solution

The fourth proportional to 613.09, 919.35 and 180.13 is: 270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.09 : 919.35 = 180.13 : x
  2. Step 2: Convert to fraction form
    613.09/919.35 = 180.13/x
  3. Step 3: Cross multiply
    613.09x = 919.35 × 180.13
  4. Step 4: Simplify right side
    613.09x = 165,602.52
  5. Step 5: Solve for x
    x = 165,602.52/613.09
  6. Step 6: Final answer
    x = 270.11

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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.