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Finding the Fourth Proportional to 531.55, 797.23 and 141.56

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Solution

The fourth proportional to 531.55, 797.23 and 141.56 is: 212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.55 : 797.23 = 141.56 : x
  2. Step 2: Convert to fraction form
    531.55/797.23 = 141.56/x
  3. Step 3: Cross multiply
    531.55x = 797.23 × 141.56
  4. Step 4: Simplify right side
    531.55x = 112,852.25
  5. Step 5: Solve for x
    x = 112,852.25/531.55
  6. Step 6: Final answer
    x = 212.31

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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.