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Finding the Fourth Proportional to 482.68, 665.43 and 305.55

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Solution

The fourth proportional to 482.68, 665.43 and 305.55 is: 421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.68 : 665.43 = 305.55 : x
  2. Step 2: Convert to fraction form
    482.68/665.43 = 305.55/x
  3. Step 3: Cross multiply
    482.68x = 665.43 × 305.55
  4. Step 4: Simplify right side
    482.68x = 203,322.14
  5. Step 5: Solve for x
    x = 203,322.14/482.68
  6. Step 6: Final answer
    x = 421.24

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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.