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Finding the Fourth Proportional to 364.01, 546.12 and 126.57

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Solution

The fourth proportional to 364.01, 546.12 and 126.57 is: 189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.01 : 546.12 = 126.57 : x
  2. Step 2: Convert to fraction form
    364.01/546.12 = 126.57/x
  3. Step 3: Cross multiply
    364.01x = 546.12 × 126.57
  4. Step 4: Simplify right side
    364.01x = 69,121.38
  5. Step 5: Solve for x
    x = 69,121.38/364.01
  6. Step 6: Final answer
    x = 189.89

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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.