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Finding the Fourth Proportional to 316.99, 475.76 and 253.27

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Solution

The fourth proportional to 316.99, 475.76 and 253.27 is: 380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.99 : 475.76 = 253.27 : x
  2. Step 2: Convert to fraction form
    316.99/475.76 = 253.27/x
  3. Step 3: Cross multiply
    316.99x = 475.76 × 253.27
  4. Step 4: Simplify right side
    316.99x = 120,495.74
  5. Step 5: Solve for x
    x = 120,495.74/316.99
  6. Step 6: Final answer
    x = 380.12

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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.