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Finding the Fourth Proportional to 270.36, 372.96 and 258.30

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Solution

The fourth proportional to 270.36, 372.96 and 258.30 is: 356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.36 : 372.96 = 258.30 : x
  2. Step 2: Convert to fraction form
    270.36/372.96 = 258.30/x
  3. Step 3: Cross multiply
    270.36x = 372.96 × 258.30
  4. Step 4: Simplify right side
    270.36x = 96,335.57
  5. Step 5: Solve for x
    x = 96,335.57/270.36
  6. Step 6: Final answer
    x = 356.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.