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Finding the Fourth Proportional to 319.14, 477.36 and 298.62

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Solution

The fourth proportional to 319.14, 477.36 and 298.62 is: 446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.14 : 477.36 = 298.62 : x
  2. Step 2: Convert to fraction form
    319.14/477.36 = 298.62/x
  3. Step 3: Cross multiply
    319.14x = 477.36 × 298.62
  4. Step 4: Simplify right side
    319.14x = 142,549.24
  5. Step 5: Solve for x
    x = 142,549.24/319.14
  6. Step 6: Final answer
    x = 446.67

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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.