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Finding the Fourth Proportional to 374.60, 517.02 and 225.23

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Solution

The fourth proportional to 374.60, 517.02 and 225.23 is: 310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.60 : 517.02 = 225.23 : x
  2. Step 2: Convert to fraction form
    374.60/517.02 = 225.23/x
  3. Step 3: Cross multiply
    374.60x = 517.02 × 225.23
  4. Step 4: Simplify right side
    374.60x = 116,447.29
  5. Step 5: Solve for x
    x = 116,447.29/374.60
  6. Step 6: Final answer
    x = 310.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.