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Finding the Fourth Proportional to 382.35, 572.38 and 340.84

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Solution

The fourth proportional to 382.35, 572.38 and 340.84 is: 510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.35 : 572.38 = 340.84 : x
  2. Step 2: Convert to fraction form
    382.35/572.38 = 340.84/x
  3. Step 3: Cross multiply
    382.35x = 572.38 × 340.84
  4. Step 4: Simplify right side
    382.35x = 195,087.72
  5. Step 5: Solve for x
    x = 195,087.72/382.35
  6. Step 6: Final answer
    x = 510.23

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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.