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Finding the Fourth Proportional to 147.71, 203.82 and 82.21

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Solution

The fourth proportional to 147.71, 203.82 and 82.21 is: 113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.71 : 203.82 = 82.21 : x
  2. Step 2: Convert to fraction form
    147.71/203.82 = 82.21/x
  3. Step 3: Cross multiply
    147.71x = 203.82 × 82.21
  4. Step 4: Simplify right side
    147.71x = 16,756.76
  5. Step 5: Solve for x
    x = 16,756.76/147.71
  6. Step 6: Final answer
    x = 113.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.