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Finding the Fourth Proportional to 264.35, 398.07 and 230.51

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Solution

The fourth proportional to 264.35, 398.07 and 230.51 is: 347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.35 : 398.07 = 230.51 : x
  2. Step 2: Convert to fraction form
    264.35/398.07 = 230.51/x
  3. Step 3: Cross multiply
    264.35x = 398.07 × 230.51
  4. Step 4: Simplify right side
    264.35x = 91,757.13
  5. Step 5: Solve for x
    x = 91,757.13/264.35
  6. Step 6: Final answer
    x = 347.11

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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.