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Finding the Fourth Proportional to 362.59, 543.80 and 167.40

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Solution

The fourth proportional to 362.59, 543.80 and 167.40 is: 251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.59 : 543.80 = 167.40 : x
  2. Step 2: Convert to fraction form
    362.59/543.80 = 167.40/x
  3. Step 3: Cross multiply
    362.59x = 543.80 × 167.40
  4. Step 4: Simplify right side
    362.59x = 91,033.55
  5. Step 5: Solve for x
    x = 91,033.55/362.59
  6. Step 6: Final answer
    x = 251.06

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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.