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Finding the Fourth Proportional to 307.45, 459.41 and 273.16

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Solution

The fourth proportional to 307.45, 459.41 and 273.16 is: 408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.45 : 459.41 = 273.16 : x
  2. Step 2: Convert to fraction form
    307.45/459.41 = 273.16/x
  3. Step 3: Cross multiply
    307.45x = 459.41 × 273.16
  4. Step 4: Simplify right side
    307.45x = 125,492.44
  5. Step 5: Solve for x
    x = 125,492.44/307.45
  6. Step 6: Final answer
    x = 408.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.