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Finding the Fourth Proportional to 346.34, 518.06 and 320.42

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Solution

The fourth proportional to 346.34, 518.06 and 320.42 is: 479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.34 : 518.06 = 320.42 : x
  2. Step 2: Convert to fraction form
    346.34/518.06 = 320.42/x
  3. Step 3: Cross multiply
    346.34x = 518.06 × 320.42
  4. Step 4: Simplify right side
    346.34x = 165,996.79
  5. Step 5: Solve for x
    x = 165,996.79/346.34
  6. Step 6: Final answer
    x = 479.29

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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.