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Finding the Fourth Proportional to 316.85, 474.80 and 225.59

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Solution

The fourth proportional to 316.85, 474.80 and 225.59 is: 338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.85 : 474.80 = 225.59 : x
  2. Step 2: Convert to fraction form
    316.85/474.80 = 225.59/x
  3. Step 3: Cross multiply
    316.85x = 474.80 × 225.59
  4. Step 4: Simplify right side
    316.85x = 107,106.63
  5. Step 5: Solve for x
    x = 107,106.63/316.85
  6. Step 6: Final answer
    x = 338.04

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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.