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Finding the Fourth Proportional to 323.79, 487.71 and 263.64

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Solution

The fourth proportional to 323.79, 487.71 and 263.64 is: 397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.79 : 487.71 = 263.64 : x
  2. Step 2: Convert to fraction form
    323.79/487.71 = 263.64/x
  3. Step 3: Cross multiply
    323.79x = 487.71 × 263.64
  4. Step 4: Simplify right side
    323.79x = 128,579.86
  5. Step 5: Solve for x
    x = 128,579.86/323.79
  6. Step 6: Final answer
    x = 397.11

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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.