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Finding the Fourth Proportional to 147.63, 203.90 and 145.61

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Solution

The fourth proportional to 147.63, 203.90 and 145.61 is: 201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.63 : 203.90 = 145.61 : x
  2. Step 2: Convert to fraction form
    147.63/203.90 = 145.61/x
  3. Step 3: Cross multiply
    147.63x = 203.90 × 145.61
  4. Step 4: Simplify right side
    147.63x = 29,688.13
  5. Step 5: Solve for x
    x = 29,688.13/147.63
  6. Step 6: Final answer
    x = 201.10

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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.