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Finding the Fourth Proportional to 410.90, 615.99 and 194.27

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Solution

The fourth proportional to 410.90, 615.99 and 194.27 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.90 : 615.99 = 194.27 : x
  2. Step 2: Convert to fraction form
    410.90/615.99 = 194.27/x
  3. Step 3: Cross multiply
    410.90x = 615.99 × 194.27
  4. Step 4: Simplify right side
    410.90x = 119,668.38
  5. Step 5: Solve for x
    x = 119,668.38/410.90
  6. Step 6: Final answer
    x = 291.23

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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.