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Finding the Fourth Proportional to 150.80, 224.62 and 143.78

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Solution

The fourth proportional to 150.80, 224.62 and 143.78 is: 214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.80 : 224.62 = 143.78 : x
  2. Step 2: Convert to fraction form
    150.80/224.62 = 143.78/x
  3. Step 3: Cross multiply
    150.80x = 224.62 × 143.78
  4. Step 4: Simplify right side
    150.80x = 32,295.86
  5. Step 5: Solve for x
    x = 32,295.86/150.80
  6. Step 6: Final answer
    x = 214.16

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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.