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Finding the Fourth Proportional to 147.28, 202.13 and 131.38

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Solution

The fourth proportional to 147.28, 202.13 and 131.38 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.28 : 202.13 = 131.38 : x
  2. Step 2: Convert to fraction form
    147.28/202.13 = 131.38/x
  3. Step 3: Cross multiply
    147.28x = 202.13 × 131.38
  4. Step 4: Simplify right side
    147.28x = 26,555.84
  5. Step 5: Solve for x
    x = 26,555.84/147.28
  6. Step 6: Final answer
    x = 180.31

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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.