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Finding the Fourth Proportional to 482.75, 666.38 and 296.18

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Solution

The fourth proportional to 482.75, 666.38 and 296.18 is: 408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.75 : 666.38 = 296.18 : x
  2. Step 2: Convert to fraction form
    482.75/666.38 = 296.18/x
  3. Step 3: Cross multiply
    482.75x = 666.38 × 296.18
  4. Step 4: Simplify right side
    482.75x = 197,365.84
  5. Step 5: Solve for x
    x = 197,365.84/482.75
  6. Step 6: Final answer
    x = 408.84

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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.