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Finding the Fourth Proportional to 362.17, 543.37 and 118.87

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Solution

The fourth proportional to 362.17, 543.37 and 118.87 is: 178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.17 : 543.37 = 118.87 : x
  2. Step 2: Convert to fraction form
    362.17/543.37 = 118.87/x
  3. Step 3: Cross multiply
    362.17x = 543.37 × 118.87
  4. Step 4: Simplify right side
    362.17x = 64,590.39
  5. Step 5: Solve for x
    x = 64,590.39/362.17
  6. Step 6: Final answer
    x = 178.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.