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Finding the Fourth Proportional to 482.58, 665.46 and 305.46

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Solution

The fourth proportional to 482.58, 665.46 and 305.46 is: 421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.58 : 665.46 = 305.46 : x
  2. Step 2: Convert to fraction form
    482.58/665.46 = 305.46/x
  3. Step 3: Cross multiply
    482.58x = 665.46 × 305.46
  4. Step 4: Simplify right side
    482.58x = 203,271.41
  5. Step 5: Solve for x
    x = 203,271.41/482.58
  6. Step 6: Final answer
    x = 421.22

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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.