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Finding the Fourth Proportional to 304.88, 456.78 and 209.12

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Solution

The fourth proportional to 304.88, 456.78 and 209.12 is: 313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.88 : 456.78 = 209.12 : x
  2. Step 2: Convert to fraction form
    304.88/456.78 = 209.12/x
  3. Step 3: Cross multiply
    304.88x = 456.78 × 209.12
  4. Step 4: Simplify right side
    304.88x = 95,521.83
  5. Step 5: Solve for x
    x = 95,521.83/304.88
  6. Step 6: Final answer
    x = 313.31

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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.