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Finding the Fourth Proportional to 150.96, 205.71 and 147.63

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Solution

The fourth proportional to 150.96, 205.71 and 147.63 is: 201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 205.71 = 147.63 : x
  2. Step 2: Convert to fraction form
    150.96/205.71 = 147.63/x
  3. Step 3: Cross multiply
    150.96x = 205.71 × 147.63
  4. Step 4: Simplify right side
    150.96x = 30,368.97
  5. Step 5: Solve for x
    x = 30,368.97/150.96
  6. Step 6: Final answer
    x = 201.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.