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Finding the Fourth Proportional to 150.81, 224.43 and 147.60

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Solution

The fourth proportional to 150.81, 224.43 and 147.60 is: 219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.81 : 224.43 = 147.60 : x
  2. Step 2: Convert to fraction form
    150.81/224.43 = 147.60/x
  3. Step 3: Cross multiply
    150.81x = 224.43 × 147.60
  4. Step 4: Simplify right side
    150.81x = 33,125.87
  5. Step 5: Solve for x
    x = 33,125.87/150.81
  6. Step 6: Final answer
    x = 219.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.