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Finding the Fourth Proportional to 434.24, 649.68 and 251.76

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Solution

The fourth proportional to 434.24, 649.68 and 251.76 is: 376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.24 : 649.68 = 251.76 : x
  2. Step 2: Convert to fraction form
    434.24/649.68 = 251.76/x
  3. Step 3: Cross multiply
    434.24x = 649.68 × 251.76
  4. Step 4: Simplify right side
    434.24x = 163,563.44
  5. Step 5: Solve for x
    x = 163,563.44/434.24
  6. Step 6: Final answer
    x = 376.67

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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.