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Finding the Fourth Proportional to 147.76, 202.82 and 134.80

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Solution

The fourth proportional to 147.76, 202.82 and 134.80 is: 185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.76 : 202.82 = 134.80 : x
  2. Step 2: Convert to fraction form
    147.76/202.82 = 134.80/x
  3. Step 3: Cross multiply
    147.76x = 202.82 × 134.80
  4. Step 4: Simplify right side
    147.76x = 27,340.14
  5. Step 5: Solve for x
    x = 27,340.14/147.76
  6. Step 6: Final answer
    x = 185.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.