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Finding the Fourth Proportional to 362.76, 544.80 and 189.54

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Solution

The fourth proportional to 362.76, 544.80 and 189.54 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.76 : 544.80 = 189.54 : x
  2. Step 2: Convert to fraction form
    362.76/544.80 = 189.54/x
  3. Step 3: Cross multiply
    362.76x = 544.80 × 189.54
  4. Step 4: Simplify right side
    362.76x = 103,262.10
  5. Step 5: Solve for x
    x = 103,262.10/362.76
  6. Step 6: Final answer
    x = 284.66

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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.