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Finding the Fourth Proportional to 319.14, 475.89 and 306.72

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Solution

The fourth proportional to 319.14, 475.89 and 306.72 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.14 : 475.89 = 306.72 : x
  2. Step 2: Convert to fraction form
    319.14/475.89 = 306.72/x
  3. Step 3: Cross multiply
    319.14x = 475.89 × 306.72
  4. Step 4: Simplify right side
    319.14x = 145,964.98
  5. Step 5: Solve for x
    x = 145,964.98/319.14
  6. Step 6: Final answer
    x = 457.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.