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Finding the Fourth Proportional to 147.31, 203.52 and 145.87

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Solution

The fourth proportional to 147.31, 203.52 and 145.87 is: 201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.31 : 203.52 = 145.87 : x
  2. Step 2: Convert to fraction form
    147.31/203.52 = 145.87/x
  3. Step 3: Cross multiply
    147.31x = 203.52 × 145.87
  4. Step 4: Simplify right side
    147.31x = 29,687.46
  5. Step 5: Solve for x
    x = 29,687.46/147.31
  6. Step 6: Final answer
    x = 201.53

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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.