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Finding the Fourth Proportional to 543.40, 816.30 and 381.40

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Solution

The fourth proportional to 543.40, 816.30 and 381.40 is: 572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.40 : 816.30 = 381.40 : x
  2. Step 2: Convert to fraction form
    543.40/816.30 = 381.40/x
  3. Step 3: Cross multiply
    543.40x = 816.30 × 381.40
  4. Step 4: Simplify right side
    543.40x = 311,336.82
  5. Step 5: Solve for x
    x = 311,336.82/543.40
  6. Step 6: Final answer
    x = 572.94

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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.