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Finding the Fourth Proportional to 264.76, 399.01 and 252.40

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Solution

The fourth proportional to 264.76, 399.01 and 252.40 is: 380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.76 : 399.01 = 252.40 : x
  2. Step 2: Convert to fraction form
    264.76/399.01 = 252.40/x
  3. Step 3: Cross multiply
    264.76x = 399.01 × 252.40
  4. Step 4: Simplify right side
    264.76x = 100,710.12
  5. Step 5: Solve for x
    x = 100,710.12/264.76
  6. Step 6: Final answer
    x = 380.38

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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.