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Finding the Fourth Proportional to 342.48, 513.36 and 270.72

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Solution

The fourth proportional to 342.48, 513.36 and 270.72 is: 405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.48 : 513.36 = 270.72 : x
  2. Step 2: Convert to fraction form
    342.48/513.36 = 270.72/x
  3. Step 3: Cross multiply
    342.48x = 513.36 × 270.72
  4. Step 4: Simplify right side
    342.48x = 138,976.82
  5. Step 5: Solve for x
    x = 138,976.82/342.48
  6. Step 6: Final answer
    x = 405.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.