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Finding the Fourth Proportional to 349.05, 522.89 and 284.12

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Solution

The fourth proportional to 349.05, 522.89 and 284.12 is: 425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.05 : 522.89 = 284.12 : x
  2. Step 2: Convert to fraction form
    349.05/522.89 = 284.12/x
  3. Step 3: Cross multiply
    349.05x = 522.89 × 284.12
  4. Step 4: Simplify right side
    349.05x = 148,563.51
  5. Step 5: Solve for x
    x = 148,563.51/349.05
  6. Step 6: Final answer
    x = 425.62

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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.