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Finding the Fourth Proportional to 363.80, 546.30 and 242.60

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Solution

The fourth proportional to 363.80, 546.30 and 242.60 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.80 : 546.30 = 242.60 : x
  2. Step 2: Convert to fraction form
    363.80/546.30 = 242.60/x
  3. Step 3: Cross multiply
    363.80x = 546.30 × 242.60
  4. Step 4: Simplify right side
    363.80x = 132,532.38
  5. Step 5: Solve for x
    x = 132,532.38/363.80
  6. Step 6: Final answer
    x = 364.30

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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.