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Finding the Fourth Proportional to 155.10, 231.99 and 138.99

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Solution

The fourth proportional to 155.10, 231.99 and 138.99 is: 207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.10 : 231.99 = 138.99 : x
  2. Step 2: Convert to fraction form
    155.10/231.99 = 138.99/x
  3. Step 3: Cross multiply
    155.10x = 231.99 × 138.99
  4. Step 4: Simplify right side
    155.10x = 32,244.29
  5. Step 5: Solve for x
    x = 32,244.29/155.10
  6. Step 6: Final answer
    x = 207.89

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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.