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Finding the Fourth Proportional to 155.82, 233.71 and 90.85

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Solution

The fourth proportional to 155.82, 233.71 and 90.85 is: 136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.82 : 233.71 = 90.85 : x
  2. Step 2: Convert to fraction form
    155.82/233.71 = 90.85/x
  3. Step 3: Cross multiply
    155.82x = 233.71 × 90.85
  4. Step 4: Simplify right side
    155.82x = 21,232.10
  5. Step 5: Solve for x
    x = 21,232.10/155.82
  6. Step 6: Final answer
    x = 136.26

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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.