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Finding the Fourth Proportional to 342.84, 517.17 and 322.59

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Solution

The fourth proportional to 342.84, 517.17 and 322.59 is: 486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 517.17 = 322.59 : x
  2. Step 2: Convert to fraction form
    342.84/517.17 = 322.59/x
  3. Step 3: Cross multiply
    342.84x = 517.17 × 322.59
  4. Step 4: Simplify right side
    342.84x = 166,833.87
  5. Step 5: Solve for x
    x = 166,833.87/342.84
  6. Step 6: Final answer
    x = 486.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.