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Finding the Fourth Proportional to 303.75, 455.31 and 173.59

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Solution

The fourth proportional to 303.75, 455.31 and 173.59 is: 260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.75 : 455.31 = 173.59 : x
  2. Step 2: Convert to fraction form
    303.75/455.31 = 173.59/x
  3. Step 3: Cross multiply
    303.75x = 455.31 × 173.59
  4. Step 4: Simplify right side
    303.75x = 79,034.99
  5. Step 5: Solve for x
    x = 79,034.99/303.75
  6. Step 6: Final answer
    x = 260.20

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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.