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Finding the Fourth Proportional to 568.20, 852.60 and 243.60

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Solution

The fourth proportional to 568.20, 852.60 and 243.60 is: 365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.20 : 852.60 = 243.60 : x
  2. Step 2: Convert to fraction form
    568.20/852.60 = 243.60/x
  3. Step 3: Cross multiply
    568.20x = 852.60 × 243.60
  4. Step 4: Simplify right side
    568.20x = 207,693.36
  5. Step 5: Solve for x
    x = 207,693.36/568.20
  6. Step 6: Final answer
    x = 365.53

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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.