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Finding the Fourth Proportional to 304.32, 420.16 and 209.96

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Solution

The fourth proportional to 304.32, 420.16 and 209.96 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.32 : 420.16 = 209.96 : x
  2. Step 2: Convert to fraction form
    304.32/420.16 = 209.96/x
  3. Step 3: Cross multiply
    304.32x = 420.16 × 209.96
  4. Step 4: Simplify right side
    304.32x = 88,216.79
  5. Step 5: Solve for x
    x = 88,216.79/304.32
  6. Step 6: Final answer
    x = 289.88

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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.