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Finding the Fourth Proportional to 342.18, 513.36 and 284.09

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Solution

The fourth proportional to 342.18, 513.36 and 284.09 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.18 : 513.36 = 284.09 : x
  2. Step 2: Convert to fraction form
    342.18/513.36 = 284.09/x
  3. Step 3: Cross multiply
    342.18x = 513.36 × 284.09
  4. Step 4: Simplify right side
    342.18x = 145,837.88
  5. Step 5: Solve for x
    x = 145,837.88/342.18
  6. Step 6: Final answer
    x = 426.20

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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.