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Finding the Fourth Proportional to 150.08, 223.86 and 143.60

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Solution

The fourth proportional to 150.08, 223.86 and 143.60 is: 214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 223.86 = 143.60 : x
  2. Step 2: Convert to fraction form
    150.08/223.86 = 143.60/x
  3. Step 3: Cross multiply
    150.08x = 223.86 × 143.60
  4. Step 4: Simplify right side
    150.08x = 32,146.30
  5. Step 5: Solve for x
    x = 32,146.30/150.08
  6. Step 6: Final answer
    x = 214.19

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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.