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Finding the Fourth Proportional to 225.74, 311.66 and 147.08

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Solution

The fourth proportional to 225.74, 311.66 and 147.08 is: 203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.74 : 311.66 = 147.08 : x
  2. Step 2: Convert to fraction form
    225.74/311.66 = 147.08/x
  3. Step 3: Cross multiply
    225.74x = 311.66 × 147.08
  4. Step 4: Simplify right side
    225.74x = 45,838.95
  5. Step 5: Solve for x
    x = 45,838.95/225.74
  6. Step 6: Final answer
    x = 203.06

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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.