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Finding the Fourth Proportional to 155.75, 233.25 and 153.23

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Solution

The fourth proportional to 155.75, 233.25 and 153.23 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.75 : 233.25 = 153.23 : x
  2. Step 2: Convert to fraction form
    155.75/233.25 = 153.23/x
  3. Step 3: Cross multiply
    155.75x = 233.25 × 153.23
  4. Step 4: Simplify right side
    155.75x = 35,740.90
  5. Step 5: Solve for x
    x = 35,740.90/155.75
  6. Step 6: Final answer
    x = 229.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.