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Finding the Fourth Proportional to 482.16, 665.36 and 285.68

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Solution

The fourth proportional to 482.16, 665.36 and 285.68 is: 394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.16 : 665.36 = 285.68 : x
  2. Step 2: Convert to fraction form
    482.16/665.36 = 285.68/x
  3. Step 3: Cross multiply
    482.16x = 665.36 × 285.68
  4. Step 4: Simplify right side
    482.16x = 190,080.04
  5. Step 5: Solve for x
    x = 190,080.04/482.16
  6. Step 6: Final answer
    x = 394.23

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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.