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Finding the Fourth Proportional to 155.41, 231.98 and 144.15

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Solution

The fourth proportional to 155.41, 231.98 and 144.15 is: 215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.41 : 231.98 = 144.15 : x
  2. Step 2: Convert to fraction form
    155.41/231.98 = 144.15/x
  3. Step 3: Cross multiply
    155.41x = 231.98 × 144.15
  4. Step 4: Simplify right side
    155.41x = 33,438.33
  5. Step 5: Solve for x
    x = 33,438.33/155.41
  6. Step 6: Final answer
    x = 215.17

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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.