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Finding the Fourth Proportional to 316.67, 473.89 and 251.09

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Solution

The fourth proportional to 316.67, 473.89 and 251.09 is: 375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.67 : 473.89 = 251.09 : x
  2. Step 2: Convert to fraction form
    316.67/473.89 = 251.09/x
  3. Step 3: Cross multiply
    316.67x = 473.89 × 251.09
  4. Step 4: Simplify right side
    316.67x = 118,985.42
  5. Step 5: Solve for x
    x = 118,985.42/316.67
  6. Step 6: Final answer
    x = 375.75

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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.