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Finding the Fourth Proportional to 351.49, 524.69 and 326.15

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Solution

The fourth proportional to 351.49, 524.69 and 326.15 is: 486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.49 : 524.69 = 326.15 : x
  2. Step 2: Convert to fraction form
    351.49/524.69 = 326.15/x
  3. Step 3: Cross multiply
    351.49x = 524.69 × 326.15
  4. Step 4: Simplify right side
    351.49x = 171,127.64
  5. Step 5: Solve for x
    x = 171,127.64/351.49
  6. Step 6: Final answer
    x = 486.86

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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.