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Finding the Fourth Proportional to 155.06, 231.53 and 128.06

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Solution

The fourth proportional to 155.06, 231.53 and 128.06 is: 191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.06 : 231.53 = 128.06 : x
  2. Step 2: Convert to fraction form
    155.06/231.53 = 128.06/x
  3. Step 3: Cross multiply
    155.06x = 231.53 × 128.06
  4. Step 4: Simplify right side
    155.06x = 29,649.73
  5. Step 5: Solve for x
    x = 29,649.73/155.06
  6. Step 6: Final answer
    x = 191.21

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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.