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Finding the Fourth Proportional to 274.96, 412.68 and 245.76

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Solution

The fourth proportional to 274.96, 412.68 and 245.76 is: 368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.96 : 412.68 = 245.76 : x
  2. Step 2: Convert to fraction form
    274.96/412.68 = 245.76/x
  3. Step 3: Cross multiply
    274.96x = 412.68 × 245.76
  4. Step 4: Simplify right side
    274.96x = 101,420.24
  5. Step 5: Solve for x
    x = 101,420.24/274.96
  6. Step 6: Final answer
    x = 368.85

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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.