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Finding the Fourth Proportional to 363.52, 543.40 and 309.92

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Solution

The fourth proportional to 363.52, 543.40 and 309.92 is: 463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.52 : 543.40 = 309.92 : x
  2. Step 2: Convert to fraction form
    363.52/543.40 = 309.92/x
  3. Step 3: Cross multiply
    363.52x = 543.40 × 309.92
  4. Step 4: Simplify right side
    363.52x = 168,410.53
  5. Step 5: Solve for x
    x = 168,410.53/363.52
  6. Step 6: Final answer
    x = 463.28

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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.