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Finding the Fourth Proportional to 346.97, 521.27 and 320.24

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Solution

The fourth proportional to 346.97, 521.27 and 320.24 is: 481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.97 : 521.27 = 320.24 : x
  2. Step 2: Convert to fraction form
    346.97/521.27 = 320.24/x
  3. Step 3: Cross multiply
    346.97x = 521.27 × 320.24
  4. Step 4: Simplify right side
    346.97x = 166,929.90
  5. Step 5: Solve for x
    x = 166,929.90/346.97
  6. Step 6: Final answer
    x = 481.11

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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.