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Finding the Fourth Proportional to 543.82, 815.64 and 153.78

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Solution

The fourth proportional to 543.82, 815.64 and 153.78 is: 230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.82 : 815.64 = 153.78 : x
  2. Step 2: Convert to fraction form
    543.82/815.64 = 153.78/x
  3. Step 3: Cross multiply
    543.82x = 815.64 × 153.78
  4. Step 4: Simplify right side
    543.82x = 125,429.12
  5. Step 5: Solve for x
    x = 125,429.12/543.82
  6. Step 6: Final answer
    x = 230.64

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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.