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Finding the Fourth Proportional to 175.09, 260.90 and 155.95

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Solution

The fourth proportional to 175.09, 260.90 and 155.95 is: 232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.09 : 260.90 = 155.95 : x
  2. Step 2: Convert to fraction form
    175.09/260.90 = 155.95/x
  3. Step 3: Cross multiply
    175.09x = 260.90 × 155.95
  4. Step 4: Simplify right side
    175.09x = 40,687.36
  5. Step 5: Solve for x
    x = 40,687.36/175.09
  6. Step 6: Final answer
    x = 232.38

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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.