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Finding the Fourth Proportional to 318.67, 476.88 and 253.09

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Solution

The fourth proportional to 318.67, 476.88 and 253.09 is: 378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.67 : 476.88 = 253.09 : x
  2. Step 2: Convert to fraction form
    318.67/476.88 = 253.09/x
  3. Step 3: Cross multiply
    318.67x = 476.88 × 253.09
  4. Step 4: Simplify right side
    318.67x = 120,693.56
  5. Step 5: Solve for x
    x = 120,693.56/318.67
  6. Step 6: Final answer
    x = 378.74

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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.