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Finding the Fourth Proportional to 363.64, 543.49 and 312.60

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Solution

The fourth proportional to 363.64, 543.49 and 312.60 is: 467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.64 : 543.49 = 312.60 : x
  2. Step 2: Convert to fraction form
    363.64/543.49 = 312.60/x
  3. Step 3: Cross multiply
    363.64x = 543.49 × 312.60
  4. Step 4: Simplify right side
    363.64x = 169,894.97
  5. Step 5: Solve for x
    x = 169,894.97/363.64
  6. Step 6: Final answer
    x = 467.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.