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Finding the Fourth Proportional to 482.84, 666.35 and 273.05

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Solution

The fourth proportional to 482.84, 666.35 and 273.05 is: 376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.84 : 666.35 = 273.05 : x
  2. Step 2: Convert to fraction form
    482.84/666.35 = 273.05/x
  3. Step 3: Cross multiply
    482.84x = 666.35 × 273.05
  4. Step 4: Simplify right side
    482.84x = 181,942.17
  5. Step 5: Solve for x
    x = 181,942.17/482.84
  6. Step 6: Final answer
    x = 376.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.