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Finding the Fourth Proportional to 364.72, 546.81 and 191.30

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Solution

The fourth proportional to 364.72, 546.81 and 191.30 is: 286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.72 : 546.81 = 191.30 : x
  2. Step 2: Convert to fraction form
    364.72/546.81 = 191.30/x
  3. Step 3: Cross multiply
    364.72x = 546.81 × 191.30
  4. Step 4: Simplify right side
    364.72x = 104,602.02
  5. Step 5: Solve for x
    x = 104,602.02/364.72
  6. Step 6: Final answer
    x = 286.80

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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.