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Finding the Fourth Proportional to 155.08, 231.52 and 143.80

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Solution

The fourth proportional to 155.08, 231.52 and 143.80 is: 214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.08 : 231.52 = 143.80 : x
  2. Step 2: Convert to fraction form
    155.08/231.52 = 143.80/x
  3. Step 3: Cross multiply
    155.08x = 231.52 × 143.80
  4. Step 4: Simplify right side
    155.08x = 33,292.58
  5. Step 5: Solve for x
    x = 33,292.58/155.08
  6. Step 6: Final answer
    x = 214.68

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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.