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Finding the Fourth Proportional to 264.80, 399.21 and 249.14

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Solution

The fourth proportional to 264.80, 399.21 and 249.14 is: 375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.80 : 399.21 = 249.14 : x
  2. Step 2: Convert to fraction form
    264.80/399.21 = 249.14/x
  3. Step 3: Cross multiply
    264.80x = 399.21 × 249.14
  4. Step 4: Simplify right side
    264.80x = 99,457.18
  5. Step 5: Solve for x
    x = 99,457.18/264.80
  6. Step 6: Final answer
    x = 375.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.