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Finding the Fourth Proportional to 531.63, 797.31 and 185.22

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Solution

The fourth proportional to 531.63, 797.31 and 185.22 is: 277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.63 : 797.31 = 185.22 : x
  2. Step 2: Convert to fraction form
    531.63/797.31 = 185.22/x
  3. Step 3: Cross multiply
    531.63x = 797.31 × 185.22
  4. Step 4: Simplify right side
    531.63x = 147,677.76
  5. Step 5: Solve for x
    x = 147,677.76/531.63
  6. Step 6: Final answer
    x = 277.78

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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.