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Finding the Fourth Proportional to 304.28, 419.74 and 210.86

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Solution

The fourth proportional to 304.28, 419.74 and 210.86 is: 290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.28 : 419.74 = 210.86 : x
  2. Step 2: Convert to fraction form
    304.28/419.74 = 210.86/x
  3. Step 3: Cross multiply
    304.28x = 419.74 × 210.86
  4. Step 4: Simplify right side
    304.28x = 88,503.75
  5. Step 5: Solve for x
    x = 88,503.75/304.28
  6. Step 6: Final answer
    x = 290.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.