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Finding the Fourth Proportional to 364.57, 546.86 and 243.68

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Solution

The fourth proportional to 364.57, 546.86 and 243.68 is: 365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.57 : 546.86 = 243.68 : x
  2. Step 2: Convert to fraction form
    364.57/546.86 = 243.68/x
  3. Step 3: Cross multiply
    364.57x = 546.86 × 243.68
  4. Step 4: Simplify right side
    364.57x = 133,258.84
  5. Step 5: Solve for x
    x = 133,258.84/364.57
  6. Step 6: Final answer
    x = 365.52

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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.