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Finding the Fourth Proportional to 482.30, 665.47 and 275.30

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Solution

The fourth proportional to 482.30, 665.47 and 275.30 is: 379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.30 : 665.47 = 275.30 : x
  2. Step 2: Convert to fraction form
    482.30/665.47 = 275.30/x
  3. Step 3: Cross multiply
    482.30x = 665.47 × 275.30
  4. Step 4: Simplify right side
    482.30x = 183,203.89
  5. Step 5: Solve for x
    x = 183,203.89/482.30
  6. Step 6: Final answer
    x = 379.85

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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.