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Finding the Fourth Proportional to 323.60, 487.22 and 285.32

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Solution

The fourth proportional to 323.60, 487.22 and 285.32 is: 429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.60 : 487.22 = 285.32 : x
  2. Step 2: Convert to fraction form
    323.60/487.22 = 285.32/x
  3. Step 3: Cross multiply
    323.60x = 487.22 × 285.32
  4. Step 4: Simplify right side
    323.60x = 139,009.75
  5. Step 5: Solve for x
    x = 139,009.75/323.60
  6. Step 6: Final answer
    x = 429.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.