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Finding the Fourth Proportional to 303.20, 453.72 and 174.32

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Solution

The fourth proportional to 303.20, 453.72 and 174.32 is: 260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.20 : 453.72 = 174.32 : x
  2. Step 2: Convert to fraction form
    303.20/453.72 = 174.32/x
  3. Step 3: Cross multiply
    303.20x = 453.72 × 174.32
  4. Step 4: Simplify right side
    303.20x = 79,092.47
  5. Step 5: Solve for x
    x = 79,092.47/303.20
  6. Step 6: Final answer
    x = 260.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.