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Finding the Fourth Proportional to 303.81, 455.99 and 159.63

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Solution

The fourth proportional to 303.81, 455.99 and 159.63 is: 239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.81 : 455.99 = 159.63 : x
  2. Step 2: Convert to fraction form
    303.81/455.99 = 159.63/x
  3. Step 3: Cross multiply
    303.81x = 455.99 × 159.63
  4. Step 4: Simplify right side
    303.81x = 72,788.89
  5. Step 5: Solve for x
    x = 72,788.89/303.81
  6. Step 6: Final answer
    x = 239.59

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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.