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Finding the Fourth Proportional to 316.50, 477.20 and 253.14

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Solution

The fourth proportional to 316.50, 477.20 and 253.14 is: 381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.50 : 477.20 = 253.14 : x
  2. Step 2: Convert to fraction form
    316.50/477.20 = 253.14/x
  3. Step 3: Cross multiply
    316.50x = 477.20 × 253.14
  4. Step 4: Simplify right side
    316.50x = 120,797.14
  5. Step 5: Solve for x
    x = 120,797.14/316.50
  6. Step 6: Final answer
    x = 381.67

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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.