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Finding the Fourth Proportional to 304.86, 455.22 and 287.75

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Solution

The fourth proportional to 304.86, 455.22 and 287.75 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.86 : 455.22 = 287.75 : x
  2. Step 2: Convert to fraction form
    304.86/455.22 = 287.75/x
  3. Step 3: Cross multiply
    304.86x = 455.22 × 287.75
  4. Step 4: Simplify right side
    304.86x = 130,990.69
  5. Step 5: Solve for x
    x = 130,990.69/304.86
  6. Step 6: Final answer
    x = 429.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.