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Finding the Fourth Proportional to 482.06, 665.18 and 275.06

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Solution

The fourth proportional to 482.06, 665.18 and 275.06 is: 379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.06 : 665.18 = 275.06 : x
  2. Step 2: Convert to fraction form
    482.06/665.18 = 275.06/x
  3. Step 3: Cross multiply
    482.06x = 665.18 × 275.06
  4. Step 4: Simplify right side
    482.06x = 182,964.41
  5. Step 5: Solve for x
    x = 182,964.41/482.06
  6. Step 6: Final answer
    x = 379.55

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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.