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Finding the Fourth Proportional to 323.32, 484.33 and 258.43

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Solution

The fourth proportional to 323.32, 484.33 and 258.43 is: 387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 484.33 = 258.43 : x
  2. Step 2: Convert to fraction form
    323.32/484.33 = 258.43/x
  3. Step 3: Cross multiply
    323.32x = 484.33 × 258.43
  4. Step 4: Simplify right side
    323.32x = 125,165.40
  5. Step 5: Solve for x
    x = 125,165.40/323.32
  6. Step 6: Final answer
    x = 387.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.