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Finding the Fourth Proportional to 482.59, 666.08 and 305.44

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Solution

The fourth proportional to 482.59, 666.08 and 305.44 is: 421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.59 : 666.08 = 305.44 : x
  2. Step 2: Convert to fraction form
    482.59/666.08 = 305.44/x
  3. Step 3: Cross multiply
    482.59x = 666.08 × 305.44
  4. Step 4: Simplify right side
    482.59x = 203,447.48
  5. Step 5: Solve for x
    x = 203,447.48/482.59
  6. Step 6: Final answer
    x = 421.57

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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.