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Finding the Fourth Proportional to 482.67, 666.14 and 296.12

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Solution

The fourth proportional to 482.67, 666.14 and 296.12 is: 408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.67 : 666.14 = 296.12 : x
  2. Step 2: Convert to fraction form
    482.67/666.14 = 296.12/x
  3. Step 3: Cross multiply
    482.67x = 666.14 × 296.12
  4. Step 4: Simplify right side
    482.67x = 197,257.38
  5. Step 5: Solve for x
    x = 197,257.38/482.67
  6. Step 6: Final answer
    x = 408.68

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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.