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Finding the Fourth Proportional to 225.29, 311.03 and 147.80

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Solution

The fourth proportional to 225.29, 311.03 and 147.80 is: 204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.29 : 311.03 = 147.80 : x
  2. Step 2: Convert to fraction form
    225.29/311.03 = 147.80/x
  3. Step 3: Cross multiply
    225.29x = 311.03 × 147.80
  4. Step 4: Simplify right side
    225.29x = 45,967.94
  5. Step 5: Solve for x
    x = 45,967.94/225.29
  6. Step 6: Final answer
    x = 204.04

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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.