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Finding the Fourth Proportional to 351.09, 524.82 and 320.13

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Solution

The fourth proportional to 351.09, 524.82 and 320.13 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.09 : 524.82 = 320.13 : x
  2. Step 2: Convert to fraction form
    351.09/524.82 = 320.13/x
  3. Step 3: Cross multiply
    351.09x = 524.82 × 320.13
  4. Step 4: Simplify right side
    351.09x = 168,010.63
  5. Step 5: Solve for x
    x = 168,010.63/351.09
  6. Step 6: Final answer
    x = 478.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.