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Finding the Fourth Proportional to 155.19, 231.74 and 123.91

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Solution

The fourth proportional to 155.19, 231.74 and 123.91 is: 185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.19 : 231.74 = 123.91 : x
  2. Step 2: Convert to fraction form
    155.19/231.74 = 123.91/x
  3. Step 3: Cross multiply
    155.19x = 231.74 × 123.91
  4. Step 4: Simplify right side
    155.19x = 28,714.90
  5. Step 5: Solve for x
    x = 28,714.90/155.19
  6. Step 6: Final answer
    x = 185.03

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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.