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Finding the Fourth Proportional to 342.48, 512.64 and 234.48

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Solution

The fourth proportional to 342.48, 512.64 and 234.48 is: 350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.48 : 512.64 = 234.48 : x
  2. Step 2: Convert to fraction form
    342.48/512.64 = 234.48/x
  3. Step 3: Cross multiply
    342.48x = 512.64 × 234.48
  4. Step 4: Simplify right side
    342.48x = 120,203.83
  5. Step 5: Solve for x
    x = 120,203.83/342.48
  6. Step 6: Final answer
    x = 350.98

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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.