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Finding the Fourth Proportional to 155.55, 231.80 and 150.85

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Solution

The fourth proportional to 155.55, 231.80 and 150.85 is: 224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.55 : 231.80 = 150.85 : x
  2. Step 2: Convert to fraction form
    155.55/231.80 = 150.85/x
  3. Step 3: Cross multiply
    155.55x = 231.80 × 150.85
  4. Step 4: Simplify right side
    155.55x = 34,967.03
  5. Step 5: Solve for x
    x = 34,967.03/155.55
  6. Step 6: Final answer
    x = 224.80

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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.