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Finding the Fourth Proportional to 362.37, 542.45 and 223.19

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Solution

The fourth proportional to 362.37, 542.45 and 223.19 is: 334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.37 : 542.45 = 223.19 : x
  2. Step 2: Convert to fraction form
    362.37/542.45 = 223.19/x
  3. Step 3: Cross multiply
    362.37x = 542.45 × 223.19
  4. Step 4: Simplify right side
    362.37x = 121,065.59
  5. Step 5: Solve for x
    x = 121,065.59/362.37
  6. Step 6: Final answer
    x = 334.09

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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.