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Finding the Fourth Proportional to 341.62, 513.27 and 284.26

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Solution

The fourth proportional to 341.62, 513.27 and 284.26 is: 427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.62 : 513.27 = 284.26 : x
  2. Step 2: Convert to fraction form
    341.62/513.27 = 284.26/x
  3. Step 3: Cross multiply
    341.62x = 513.27 × 284.26
  4. Step 4: Simplify right side
    341.62x = 145,902.13
  5. Step 5: Solve for x
    x = 145,902.13/341.62
  6. Step 6: Final answer
    x = 427.09

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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.