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Finding the Fourth Proportional to 364.36, 546.20 and 190.92

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Solution

The fourth proportional to 364.36, 546.20 and 190.92 is: 286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.36 : 546.20 = 190.92 : x
  2. Step 2: Convert to fraction form
    364.36/546.20 = 190.92/x
  3. Step 3: Cross multiply
    364.36x = 546.20 × 190.92
  4. Step 4: Simplify right side
    364.36x = 104,280.50
  5. Step 5: Solve for x
    x = 104,280.50/364.36
  6. Step 6: Final answer
    x = 286.20

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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.