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Finding the Fourth Proportional to 364.07, 546.43 and 190.85

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Solution

The fourth proportional to 364.07, 546.43 and 190.85 is: 286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.07 : 546.43 = 190.85 : x
  2. Step 2: Convert to fraction form
    364.07/546.43 = 190.85/x
  3. Step 3: Cross multiply
    364.07x = 546.43 × 190.85
  4. Step 4: Simplify right side
    364.07x = 104,286.17
  5. Step 5: Solve for x
    x = 104,286.17/364.07
  6. Step 6: Final answer
    x = 286.45

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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.