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Finding the Fourth Proportional to 155.67, 233.16 and 128.57

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Solution

The fourth proportional to 155.67, 233.16 and 128.57 is: 192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.67 : 233.16 = 128.57 : x
  2. Step 2: Convert to fraction form
    155.67/233.16 = 128.57/x
  3. Step 3: Cross multiply
    155.67x = 233.16 × 128.57
  4. Step 4: Simplify right side
    155.67x = 29,976.22
  5. Step 5: Solve for x
    x = 29,976.22/155.67
  6. Step 6: Final answer
    x = 192.56

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Why These Related Problems?

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