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Finding the Fourth Proportional to 316.01, 475.69 and 225.34

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Solution

The fourth proportional to 316.01, 475.69 and 225.34 is: 339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.01 : 475.69 = 225.34 : x
  2. Step 2: Convert to fraction form
    316.01/475.69 = 225.34/x
  3. Step 3: Cross multiply
    316.01x = 475.69 × 225.34
  4. Step 4: Simplify right side
    316.01x = 107,191.98
  5. Step 5: Solve for x
    x = 107,191.98/316.01
  6. Step 6: Final answer
    x = 339.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.