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Finding the Fourth Proportional to 147.25, 201.70 and 145.63

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Solution

The fourth proportional to 147.25, 201.70 and 145.63 is: 199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.25 : 201.70 = 145.63 : x
  2. Step 2: Convert to fraction form
    147.25/201.70 = 145.63/x
  3. Step 3: Cross multiply
    147.25x = 201.70 × 145.63
  4. Step 4: Simplify right side
    147.25x = 29,372.56
  5. Step 5: Solve for x
    x = 29,372.56/147.25
  6. Step 6: Final answer
    x = 199.48

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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.