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Finding the Fourth Proportional to 264.16, 398.06 and 251.80

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Solution

The fourth proportional to 264.16, 398.06 and 251.80 is: 379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.16 : 398.06 = 251.80 : x
  2. Step 2: Convert to fraction form
    264.16/398.06 = 251.80/x
  3. Step 3: Cross multiply
    264.16x = 398.06 × 251.80
  4. Step 4: Simplify right side
    264.16x = 100,231.51
  5. Step 5: Solve for x
    x = 100,231.51/264.16
  6. Step 6: Final answer
    x = 379.43

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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.