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Finding the Fourth Proportional to 482.19, 665.51 and 285.69

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Solution

The fourth proportional to 482.19, 665.51 and 285.69 is: 394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.19 : 665.51 = 285.69 : x
  2. Step 2: Convert to fraction form
    482.19/665.51 = 285.69/x
  3. Step 3: Cross multiply
    482.19x = 665.51 × 285.69
  4. Step 4: Simplify right side
    482.19x = 190,128.12
  5. Step 5: Solve for x
    x = 190,128.12/482.19
  6. Step 6: Final answer
    x = 394.30

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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.