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Finding the Fourth Proportional to 304.58, 458.56 and 209.02

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Solution

The fourth proportional to 304.58, 458.56 and 209.02 is: 314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.58 : 458.56 = 209.02 : x
  2. Step 2: Convert to fraction form
    304.58/458.56 = 209.02/x
  3. Step 3: Cross multiply
    304.58x = 458.56 × 209.02
  4. Step 4: Simplify right side
    304.58x = 95,847.17
  5. Step 5: Solve for x
    x = 95,847.17/304.58
  6. Step 6: Final answer
    x = 314.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.