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Finding the Fourth Proportional to 303.53, 455.36 and 159.21

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Solution

The fourth proportional to 303.53, 455.36 and 159.21 is: 238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.53 : 455.36 = 159.21 : x
  2. Step 2: Convert to fraction form
    303.53/455.36 = 159.21/x
  3. Step 3: Cross multiply
    303.53x = 455.36 × 159.21
  4. Step 4: Simplify right side
    303.53x = 72,497.07
  5. Step 5: Solve for x
    x = 72,497.07/303.53
  6. Step 6: Final answer
    x = 238.85

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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.