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Finding the Fourth Proportional to 362.76, 543.64 and 146.28

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Solution

The fourth proportional to 362.76, 543.64 and 146.28 is: 219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.76 : 543.64 = 146.28 : x
  2. Step 2: Convert to fraction form
    362.76/543.64 = 146.28/x
  3. Step 3: Cross multiply
    362.76x = 543.64 × 146.28
  4. Step 4: Simplify right side
    362.76x = 79,523.66
  5. Step 5: Solve for x
    x = 79,523.66/362.76
  6. Step 6: Final answer
    x = 219.22

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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.