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Finding the Fourth Proportional to 362.68, 543.50 and 208.38

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Solution

The fourth proportional to 362.68, 543.50 and 208.38 is: 312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.68 : 543.50 = 208.38 : x
  2. Step 2: Convert to fraction form
    362.68/543.50 = 208.38/x
  3. Step 3: Cross multiply
    362.68x = 543.50 × 208.38
  4. Step 4: Simplify right side
    362.68x = 113,254.53
  5. Step 5: Solve for x
    x = 113,254.53/362.68
  6. Step 6: Final answer
    x = 312.27

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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.