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Finding the Fourth Proportional to 150.86, 224.47 and 147.62

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Solution

The fourth proportional to 150.86, 224.47 and 147.62 is: 219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.86 : 224.47 = 147.62 : x
  2. Step 2: Convert to fraction form
    150.86/224.47 = 147.62/x
  3. Step 3: Cross multiply
    150.86x = 224.47 × 147.62
  4. Step 4: Simplify right side
    150.86x = 33,137.01
  5. Step 5: Solve for x
    x = 33,137.01/150.86
  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.