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Finding the Fourth Proportional to 397.18, 543.02 and 382.06

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Solution

The fourth proportional to 397.18, 543.02 and 382.06 is: 522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.18 : 543.02 = 382.06 : x
  2. Step 2: Convert to fraction form
    397.18/543.02 = 382.06/x
  3. Step 3: Cross multiply
    397.18x = 543.02 × 382.06
  4. Step 4: Simplify right side
    397.18x = 207,466.22
  5. Step 5: Solve for x
    x = 207,466.22/397.18
  6. Step 6: Final answer
    x = 522.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.