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Finding the Fourth Proportional to 482.02, 665.12 and 269.32

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Solution

The fourth proportional to 482.02, 665.12 and 269.32 is: 371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.02 : 665.12 = 269.32 : x
  2. Step 2: Convert to fraction form
    482.02/665.12 = 269.32/x
  3. Step 3: Cross multiply
    482.02x = 665.12 × 269.32
  4. Step 4: Simplify right side
    482.02x = 179,130.12
  5. Step 5: Solve for x
    x = 179,130.12/482.02
  6. Step 6: Final answer
    x = 371.62

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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.