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Finding the Fourth Proportional to 303.74, 455.39 and 188.01

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Solution

The fourth proportional to 303.74, 455.39 and 188.01 is: 281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.74 : 455.39 = 188.01 : x
  2. Step 2: Convert to fraction form
    303.74/455.39 = 188.01/x
  3. Step 3: Cross multiply
    303.74x = 455.39 × 188.01
  4. Step 4: Simplify right side
    303.74x = 85,616.93
  5. Step 5: Solve for x
    x = 85,616.93/303.74
  6. Step 6: Final answer
    x = 281.87

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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.