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Finding the Fourth Proportional to 318.14, 477.74 and 287.46

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Solution

The fourth proportional to 318.14, 477.74 and 287.46 is: 431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.14 : 477.74 = 287.46 : x
  2. Step 2: Convert to fraction form
    318.14/477.74 = 287.46/x
  3. Step 3: Cross multiply
    318.14x = 477.74 × 287.46
  4. Step 4: Simplify right side
    318.14x = 137,331.14
  5. Step 5: Solve for x
    x = 137,331.14/318.14
  6. Step 6: Final answer
    x = 431.67

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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.