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Finding the Fourth Proportional to 482.47, 665.65 and 285.94

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Solution

The fourth proportional to 482.47, 665.65 and 285.94 is: 394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.47 : 665.65 = 285.94 : x
  2. Step 2: Convert to fraction form
    482.47/665.65 = 285.94/x
  3. Step 3: Cross multiply
    482.47x = 665.65 × 285.94
  4. Step 4: Simplify right side
    482.47x = 190,337.15
  5. Step 5: Solve for x
    x = 190,337.15/482.47
  6. Step 6: Final answer
    x = 394.51

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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.