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Finding the Fourth Proportional to 531.82, 797.77 and 141.83

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Solution

The fourth proportional to 531.82, 797.77 and 141.83 is: 212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.82 : 797.77 = 141.83 : x
  2. Step 2: Convert to fraction form
    531.82/797.77 = 141.83/x
  3. Step 3: Cross multiply
    531.82x = 797.77 × 141.83
  4. Step 4: Simplify right side
    531.82x = 113,147.72
  5. Step 5: Solve for x
    x = 113,147.72/531.82
  6. Step 6: Final answer
    x = 212.76

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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.