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Finding the Fourth Proportional to 147.28, 203.34 and 145.66

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Solution

The fourth proportional to 147.28, 203.34 and 145.66 is: 201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.28 : 203.34 = 145.66 : x
  2. Step 2: Convert to fraction form
    147.28/203.34 = 145.66/x
  3. Step 3: Cross multiply
    147.28x = 203.34 × 145.66
  4. Step 4: Simplify right side
    147.28x = 29,618.50
  5. Step 5: Solve for x
    x = 29,618.50/147.28
  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.