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Finding the Fourth Proportional to 304.06, 419.41 and 210.76

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Solution

The fourth proportional to 304.06, 419.41 and 210.76 is: 290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.06 : 419.41 = 210.76 : x
  2. Step 2: Convert to fraction form
    304.06/419.41 = 210.76/x
  3. Step 3: Cross multiply
    304.06x = 419.41 × 210.76
  4. Step 4: Simplify right side
    304.06x = 88,394.85
  5. Step 5: Solve for x
    x = 88,394.85/304.06
  6. Step 6: Final answer
    x = 290.72

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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.