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Finding the Fourth Proportional to 270.31, 403.52 and 258.49

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Solution

The fourth proportional to 270.31, 403.52 and 258.49 is: 385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.31 : 403.52 = 258.49 : x
  2. Step 2: Convert to fraction form
    270.31/403.52 = 258.49/x
  3. Step 3: Cross multiply
    270.31x = 403.52 × 258.49
  4. Step 4: Simplify right side
    270.31x = 104,305.88
  5. Step 5: Solve for x
    x = 104,305.88/270.31
  6. Step 6: Final answer
    x = 385.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.