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Finding the Fourth Proportional to 362.18, 543.50 and 145.78

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Solution

The fourth proportional to 362.18, 543.50 and 145.78 is: 218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.18 : 543.50 = 145.78 : x
  2. Step 2: Convert to fraction form
    362.18/543.50 = 145.78/x
  3. Step 3: Cross multiply
    362.18x = 543.50 × 145.78
  4. Step 4: Simplify right side
    362.18x = 79,231.43
  5. Step 5: Solve for x
    x = 79,231.43/362.18
  6. Step 6: Final answer
    x = 218.76

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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.