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Finding the Fourth Proportional to 150.28, 226.53 and 135.40

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Solution

The fourth proportional to 150.28, 226.53 and 135.40 is: 204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.28 : 226.53 = 135.40 : x
  2. Step 2: Convert to fraction form
    150.28/226.53 = 135.40/x
  3. Step 3: Cross multiply
    150.28x = 226.53 × 135.40
  4. Step 4: Simplify right side
    150.28x = 30,672.16
  5. Step 5: Solve for x
    x = 30,672.16/150.28
  6. Step 6: Final answer
    x = 204.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.